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Finding the Third Proportional to 60,712 and 133,087

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Solution

The third proportional to 60,712 and 133,087 is: 291,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,712 : 133,087 = 133,087 : x
  2. Step 2: Convert to fraction form
    60,712/133,087 = 133,087/x
  3. Step 3: Cross multiply
    60,712x = 133,087 × 133,087
  4. Step 4: Simplify right side
    60,712x = 17,712,149,569
  5. Step 5: Solve for x
    x = 17,712,149,569/60,712
  6. Step 6: Final answer
    x = 291,740.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.