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Finding the Third Proportional to 80,986.50 and 176,725.13

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Solution

The third proportional to 80,986.50 and 176,725.13 is: 385,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,986.50 : 176,725.13 = 176,725.13 : x
  2. Step 2: Convert to fraction form
    80,986.50/176,725.13 = 176,725.13/x
  3. Step 3: Cross multiply
    80,986.50x = 176,725.13 × 176,725.13
  4. Step 4: Simplify right side
    80,986.50x = 31,231,769,806.27
  5. Step 5: Solve for x
    x = 31,231,769,806.27/80,986.50
  6. Step 6: Final answer
    x = 385,641.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.