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Finding the Third Proportional to 83,538 and 127,953

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Solution

The third proportional to 83,538 and 127,953 is: 195,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 127,953 = 127,953 : x
  2. Step 2: Convert to fraction form
    83,538/127,953 = 127,953/x
  3. Step 3: Cross multiply
    83,538x = 127,953 × 127,953
  4. Step 4: Simplify right side
    83,538x = 16,371,970,209
  5. Step 5: Solve for x
    x = 16,371,970,209/83,538
  6. Step 6: Final answer
    x = 195,982.31

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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.