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Finding the Third Proportional to 45,217.50 and 94,564.50

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Solution

The third proportional to 45,217.50 and 94,564.50 is: 197,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217.50 : 94,564.50 = 94,564.50 : x
  2. Step 2: Convert to fraction form
    45,217.50/94,564.50 = 94,564.50/x
  3. Step 3: Cross multiply
    45,217.50x = 94,564.50 × 94,564.50
  4. Step 4: Simplify right side
    45,217.50x = 8,942,444,660.25
  5. Step 5: Solve for x
    x = 8,942,444,660.25/45,217.50
  6. Step 6: Final answer
    x = 197,765.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.