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Finding the Third Proportional to 83,671.88 and 127,470.38

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Solution

The third proportional to 83,671.88 and 127,470.38 is: 194,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,671.88 : 127,470.38 = 127,470.38 : x
  2. Step 2: Convert to fraction form
    83,671.88/127,470.38 = 127,470.38/x
  3. Step 3: Cross multiply
    83,671.88x = 127,470.38 × 127,470.38
  4. Step 4: Simplify right side
    83,671.88x = 16,248,696,502.64
  5. Step 5: Solve for x
    x = 16,248,696,502.64/83,671.88
  6. Step 6: Final answer
    x = 194,195.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.