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Finding the Third Proportional to 60,042 and 129,362

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Solution

The third proportional to 60,042 and 129,362 is: 278,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,042 : 129,362 = 129,362 : x
  2. Step 2: Convert to fraction form
    60,042/129,362 = 129,362/x
  3. Step 3: Cross multiply
    60,042x = 129,362 × 129,362
  4. Step 4: Simplify right side
    60,042x = 16,734,527,044
  5. Step 5: Solve for x
    x = 16,734,527,044/60,042
  6. Step 6: Final answer
    x = 278,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.