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Finding the Third Proportional to 86,657 and 187,530

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Solution

The third proportional to 86,657 and 187,530 is: 405,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,657 : 187,530 = 187,530 : x
  2. Step 2: Convert to fraction form
    86,657/187,530 = 187,530/x
  3. Step 3: Cross multiply
    86,657x = 187,530 × 187,530
  4. Step 4: Simplify right side
    86,657x = 35,167,500,900
  5. Step 5: Solve for x
    x = 35,167,500,900/86,657
  6. Step 6: Final answer
    x = 405,824.12

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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.