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Finding the Third Proportional to 81,414.49 and 176,754.02

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Solution

The third proportional to 81,414.49 and 176,754.02 is: 383,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,414.49 : 176,754.02 = 176,754.02 : x
  2. Step 2: Convert to fraction form
    81,414.49/176,754.02 = 176,754.02/x
  3. Step 3: Cross multiply
    81,414.49x = 176,754.02 × 176,754.02
  4. Step 4: Simplify right side
    81,414.49x = 31,241,984,801.34
  5. Step 5: Solve for x
    x = 31,241,984,801.34/81,414.49
  6. Step 6: Final answer
    x = 383,739.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.