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Finding the Third Proportional to 60,469 and 131,294

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Solution

The third proportional to 60,469 and 131,294 is: 285,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,469 : 131,294 = 131,294 : x
  2. Step 2: Convert to fraction form
    60,469/131,294 = 131,294/x
  3. Step 3: Cross multiply
    60,469x = 131,294 × 131,294
  4. Step 4: Simplify right side
    60,469x = 17,238,114,436
  5. Step 5: Solve for x
    x = 17,238,114,436/60,469
  6. Step 6: Final answer
    x = 285,073.58

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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.