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Finding the Third Proportional to 82,147.50 and 176,572.13

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Solution

The third proportional to 82,147.50 and 176,572.13 is: 379,533.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147.50 : 176,572.13 = 176,572.13 : x
  2. Step 2: Convert to fraction form
    82,147.50/176,572.13 = 176,572.13/x
  3. Step 3: Cross multiply
    82,147.50x = 176,572.13 × 176,572.13
  4. Step 4: Simplify right side
    82,147.50x = 31,177,715,327.02
  5. Step 5: Solve for x
    x = 31,177,715,327.02/82,147.50
  6. Step 6: Final answer
    x = 379,533.34

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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.