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Finding the Third Proportional to 86,531 and 187,750

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Solution

The third proportional to 86,531 and 187,750 is: 407,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,531 : 187,750 = 187,750 : x
  2. Step 2: Convert to fraction form
    86,531/187,750 = 187,750/x
  3. Step 3: Cross multiply
    86,531x = 187,750 × 187,750
  4. Step 4: Simplify right side
    86,531x = 35,250,062,500
  5. Step 5: Solve for x
    x = 35,250,062,500/86,531
  6. Step 6: Final answer
    x = 407,369.18

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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.