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Finding the Third Proportional to 62,853 and 132,169

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Solution

The third proportional to 62,853 and 132,169 is: 277,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,853 : 132,169 = 132,169 : x
  2. Step 2: Convert to fraction form
    62,853/132,169 = 132,169/x
  3. Step 3: Cross multiply
    62,853x = 132,169 × 132,169
  4. Step 4: Simplify right side
    62,853x = 17,468,644,561
  5. Step 5: Solve for x
    x = 17,468,644,561/62,853
  6. Step 6: Final answer
    x = 277,928.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.