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Finding the Third Proportional to 60,687 and 129,028.50

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Solution

The third proportional to 60,687 and 129,028.50 is: 274,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,687 : 129,028.50 = 129,028.50 : x
  2. Step 2: Convert to fraction form
    60,687/129,028.50 = 129,028.50/x
  3. Step 3: Cross multiply
    60,687x = 129,028.50 × 129,028.50
  4. Step 4: Simplify right side
    60,687x = 16,648,353,812.25
  5. Step 5: Solve for x
    x = 16,648,353,812.25/60,687
  6. Step 6: Final answer
    x = 274,331.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.