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Finding the Third Proportional to 83,238 and 127,651

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Solution

The third proportional to 83,238 and 127,651 is: 195,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,238 : 127,651 = 127,651 : x
  2. Step 2: Convert to fraction form
    83,238/127,651 = 127,651/x
  3. Step 3: Cross multiply
    83,238x = 127,651 × 127,651
  4. Step 4: Simplify right side
    83,238x = 16,294,777,801
  5. Step 5: Solve for x
    x = 16,294,777,801/83,238
  6. Step 6: Final answer
    x = 195,761.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.