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Finding the Third Proportional to 87,090 and 188,672.25

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Solution

The third proportional to 87,090 and 188,672.25 is: 408,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,090 : 188,672.25 = 188,672.25 : x
  2. Step 2: Convert to fraction form
    87,090/188,672.25 = 188,672.25/x
  3. Step 3: Cross multiply
    87,090x = 188,672.25 × 188,672.25
  4. Step 4: Simplify right side
    87,090x = 35,597,217,920.06
  5. Step 5: Solve for x
    x = 35,597,217,920.06/87,090
  6. Step 6: Final answer
    x = 408,740.59

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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.