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Finding the Third Proportional to 60,514 and 132,691

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Solution

The third proportional to 60,514 and 132,691 is: 290,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,514 : 132,691 = 132,691 : x
  2. Step 2: Convert to fraction form
    60,514/132,691 = 132,691/x
  3. Step 3: Cross multiply
    60,514x = 132,691 × 132,691
  4. Step 4: Simplify right side
    60,514x = 17,606,901,481
  5. Step 5: Solve for x
    x = 17,606,901,481/60,514
  6. Step 6: Final answer
    x = 290,955.84

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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.