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Finding the Third Proportional to 82,082.50 and 176,720

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Solution

The third proportional to 82,082.50 and 176,720 is: 380,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082.50 : 176,720 = 176,720 : x
  2. Step 2: Convert to fraction form
    82,082.50/176,720 = 176,720/x
  3. Step 3: Cross multiply
    82,082.50x = 176,720 × 176,720
  4. Step 4: Simplify right side
    82,082.50x = 31,229,958,400
  5. Step 5: Solve for x
    x = 31,229,958,400/82,082.50
  6. Step 6: Final answer
    x = 380,470.36

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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.