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Finding the Third Proportional to 81,363.56 and 176,259.38

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Solution

The third proportional to 81,363.56 and 176,259.38 is: 381,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,363.56 : 176,259.38 = 176,259.38 : x
  2. Step 2: Convert to fraction form
    81,363.56/176,259.38 = 176,259.38/x
  3. Step 3: Cross multiply
    81,363.56x = 176,259.38 × 176,259.38
  4. Step 4: Simplify right side
    81,363.56x = 31,067,367,275.39
  5. Step 5: Solve for x
    x = 31,067,367,275.39/81,363.56
  6. Step 6: Final answer
    x = 381,833.91

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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.