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Finding the Third Proportional to 83,552 and 127,974

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Solution

The third proportional to 83,552 and 127,974 is: 196,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,552 : 127,974 = 127,974 : x
  2. Step 2: Convert to fraction form
    83,552/127,974 = 127,974/x
  3. Step 3: Cross multiply
    83,552x = 127,974 × 127,974
  4. Step 4: Simplify right side
    83,552x = 16,377,344,676
  5. Step 5: Solve for x
    x = 16,377,344,676/83,552
  6. Step 6: Final answer
    x = 196,013.80

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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.