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Finding the Third Proportional to 60,592 and 129,433

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Solution

The third proportional to 60,592 and 129,433 is: 276,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,592 : 129,433 = 129,433 : x
  2. Step 2: Convert to fraction form
    60,592/129,433 = 129,433/x
  3. Step 3: Cross multiply
    60,592x = 129,433 × 129,433
  4. Step 4: Simplify right side
    60,592x = 16,752,901,489
  5. Step 5: Solve for x
    x = 16,752,901,489/60,592
  6. Step 6: Final answer
    x = 276,487.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.