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Finding the Third Proportional to 86,102 and 185,398

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Solution

The third proportional to 86,102 and 185,398 is: 399,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,102 : 185,398 = 185,398 : x
  2. Step 2: Convert to fraction form
    86,102/185,398 = 185,398/x
  3. Step 3: Cross multiply
    86,102x = 185,398 × 185,398
  4. Step 4: Simplify right side
    86,102x = 34,372,418,404
  5. Step 5: Solve for x
    x = 34,372,418,404/86,102
  6. Step 6: Final answer
    x = 399,205.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.