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Finding the Third Proportional to 61,269.75 and 132,717.38

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Solution

The third proportional to 61,269.75 and 132,717.38 is: 287,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,269.75 : 132,717.38 = 132,717.38 : x
  2. Step 2: Convert to fraction form
    61,269.75/132,717.38 = 132,717.38/x
  3. Step 3: Cross multiply
    61,269.75x = 132,717.38 × 132,717.38
  4. Step 4: Simplify right side
    61,269.75x = 17,613,901,626.89
  5. Step 5: Solve for x
    x = 17,613,901,626.89/61,269.75
  6. Step 6: Final answer
    x = 287,481.21

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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.