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Finding the Third Proportional to 83,466 and 127,962

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Solution

The third proportional to 83,466 and 127,962 is: 196,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466 : 127,962 = 127,962 : x
  2. Step 2: Convert to fraction form
    83,466/127,962 = 127,962/x
  3. Step 3: Cross multiply
    83,466x = 127,962 × 127,962
  4. Step 4: Simplify right side
    83,466x = 16,374,273,444
  5. Step 5: Solve for x
    x = 16,374,273,444/83,466
  6. Step 6: Final answer
    x = 196,178.96

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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.