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Finding the Third Proportional to 83,348 and 129,092

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Solution

The third proportional to 83,348 and 129,092 is: 199,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348 : 129,092 = 129,092 : x
  2. Step 2: Convert to fraction form
    83,348/129,092 = 129,092/x
  3. Step 3: Cross multiply
    83,348x = 129,092 × 129,092
  4. Step 4: Simplify right side
    83,348x = 16,664,744,464
  5. Step 5: Solve for x
    x = 16,664,744,464/83,348
  6. Step 6: Final answer
    x = 199,941.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.