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Finding the Third Proportional to 87,532 and 190,902

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Solution

The third proportional to 87,532 and 190,902 is: 416,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532 : 190,902 = 190,902 : x
  2. Step 2: Convert to fraction form
    87,532/190,902 = 190,902/x
  3. Step 3: Cross multiply
    87,532x = 190,902 × 190,902
  4. Step 4: Simplify right side
    87,532x = 36,443,573,604
  5. Step 5: Solve for x
    x = 36,443,573,604/87,532
  6. Step 6: Final answer
    x = 416,345.72

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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.