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Finding the Third Proportional to 45,262.50 and 105,226.50

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Solution

The third proportional to 45,262.50 and 105,226.50 is: 244,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,262.50 : 105,226.50 = 105,226.50 : x
  2. Step 2: Convert to fraction form
    45,262.50/105,226.50 = 105,226.50/x
  3. Step 3: Cross multiply
    45,262.50x = 105,226.50 × 105,226.50
  4. Step 4: Simplify right side
    45,262.50x = 11,072,616,302.25
  5. Step 5: Solve for x
    x = 11,072,616,302.25/45,262.50
  6. Step 6: Final answer
    x = 244,631.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.