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Finding the Third Proportional to 87,275.25 and 188,475.75

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Solution

The third proportional to 87,275.25 and 188,475.75 is: 407,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,275.25 : 188,475.75 = 188,475.75 : x
  2. Step 2: Convert to fraction form
    87,275.25/188,475.75 = 188,475.75/x
  3. Step 3: Cross multiply
    87,275.25x = 188,475.75 × 188,475.75
  4. Step 4: Simplify right side
    87,275.25x = 35,523,108,338.06
  5. Step 5: Solve for x
    x = 35,523,108,338.06/87,275.25
  6. Step 6: Final answer
    x = 407,023.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.