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Finding the Third Proportional to 45,400.50 and 105,502.50

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Solution

The third proportional to 45,400.50 and 105,502.50 is: 245,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,400.50 : 105,502.50 = 105,502.50 : x
  2. Step 2: Convert to fraction form
    45,400.50/105,502.50 = 105,502.50/x
  3. Step 3: Cross multiply
    45,400.50x = 105,502.50 × 105,502.50
  4. Step 4: Simplify right side
    45,400.50x = 11,130,777,506.25
  5. Step 5: Solve for x
    x = 11,130,777,506.25/45,400.50
  6. Step 6: Final answer
    x = 245,168.61

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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.