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Finding the Third Proportional to 40,117 and 86,269

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Solution

The third proportional to 40,117 and 86,269 is: 185,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,117 : 86,269 = 86,269 : x
  2. Step 2: Convert to fraction form
    40,117/86,269 = 86,269/x
  3. Step 3: Cross multiply
    40,117x = 86,269 × 86,269
  4. Step 4: Simplify right side
    40,117x = 7,442,340,361
  5. Step 5: Solve for x
    x = 7,442,340,361/40,117
  6. Step 6: Final answer
    x = 185,515.88

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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.