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Finding the Third Proportional to 81,381.38 and 175,246.88

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Solution

The third proportional to 81,381.38 and 175,246.88 is: 377,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,381.38 : 175,246.88 = 175,246.88 : x
  2. Step 2: Convert to fraction form
    81,381.38/175,246.88 = 175,246.88/x
  3. Step 3: Cross multiply
    81,381.38x = 175,246.88 × 175,246.88
  4. Step 4: Simplify right side
    81,381.38x = 30,711,467,197.27
  5. Step 5: Solve for x
    x = 30,711,467,197.27/81,381.38
  6. Step 6: Final answer
    x = 377,377.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.