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Finding the Third Proportional to 60,566 and 131,498

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Solution

The third proportional to 60,566 and 131,498 is: 285,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,566 : 131,498 = 131,498 : x
  2. Step 2: Convert to fraction form
    60,566/131,498 = 131,498/x
  3. Step 3: Cross multiply
    60,566x = 131,498 × 131,498
  4. Step 4: Simplify right side
    60,566x = 17,291,724,004
  5. Step 5: Solve for x
    x = 17,291,724,004/60,566
  6. Step 6: Final answer
    x = 285,502.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.