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Finding the Third Proportional to 60,689 and 132,029

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Solution

The third proportional to 60,689 and 132,029 is: 287,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,689 : 132,029 = 132,029 : x
  2. Step 2: Convert to fraction form
    60,689/132,029 = 132,029/x
  3. Step 3: Cross multiply
    60,689x = 132,029 × 132,029
  4. Step 4: Simplify right side
    60,689x = 17,431,656,841
  5. Step 5: Solve for x
    x = 17,431,656,841/60,689
  6. Step 6: Final answer
    x = 287,229.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.