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Finding the Third Proportional to 83,897 and 127,068

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Solution

The third proportional to 83,897 and 127,068 is: 192,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897 : 127,068 = 127,068 : x
  2. Step 2: Convert to fraction form
    83,897/127,068 = 127,068/x
  3. Step 3: Cross multiply
    83,897x = 127,068 × 127,068
  4. Step 4: Simplify right side
    83,897x = 16,146,276,624
  5. Step 5: Solve for x
    x = 16,146,276,624/83,897
  6. Step 6: Final answer
    x = 192,453.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.