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Finding the Third Proportional to 83,916 and 127,092

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Solution

The third proportional to 83,916 and 127,092 is: 192,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916 : 127,092 = 127,092 : x
  2. Step 2: Convert to fraction form
    83,916/127,092 = 127,092/x
  3. Step 3: Cross multiply
    83,916x = 127,092 × 127,092
  4. Step 4: Simplify right side
    83,916x = 16,152,376,464
  5. Step 5: Solve for x
    x = 16,152,376,464/83,916
  6. Step 6: Final answer
    x = 192,482.68

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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.