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Finding the Third Proportional to 81,502.88 and 176,571

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Solution

The third proportional to 81,502.88 and 176,571 is: 382,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.88 : 176,571 = 176,571 : x
  2. Step 2: Convert to fraction form
    81,502.88/176,571 = 176,571/x
  3. Step 3: Cross multiply
    81,502.88x = 176,571 × 176,571
  4. Step 4: Simplify right side
    81,502.88x = 31,177,318,041
  5. Step 5: Solve for x
    x = 31,177,318,041/81,502.88
  6. Step 6: Final answer
    x = 382,530.29

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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.