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Finding the Third Proportional to 83,264 and 127,680

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Solution

The third proportional to 83,264 and 127,680 is: 195,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,264 : 127,680 = 127,680 : x
  2. Step 2: Convert to fraction form
    83,264/127,680 = 127,680/x
  3. Step 3: Cross multiply
    83,264x = 127,680 × 127,680
  4. Step 4: Simplify right side
    83,264x = 16,302,182,400
  5. Step 5: Solve for x
    x = 16,302,182,400/83,264
  6. Step 6: Final answer
    x = 195,789.09

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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.