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Finding the Third Proportional to 62,471 and 132,187

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Solution

The third proportional to 62,471 and 132,187 is: 279,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471 : 132,187 = 132,187 : x
  2. Step 2: Convert to fraction form
    62,471/132,187 = 132,187/x
  3. Step 3: Cross multiply
    62,471x = 132,187 × 132,187
  4. Step 4: Simplify right side
    62,471x = 17,473,402,969
  5. Step 5: Solve for x
    x = 17,473,402,969/62,471
  6. Step 6: Final answer
    x = 279,704.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.