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Finding the Third Proportional to 41,418 and 86,527

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Solution

The third proportional to 41,418 and 86,527 is: 180,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,418 : 86,527 = 86,527 : x
  2. Step 2: Convert to fraction form
    41,418/86,527 = 86,527/x
  3. Step 3: Cross multiply
    41,418x = 86,527 × 86,527
  4. Step 4: Simplify right side
    41,418x = 7,486,921,729
  5. Step 5: Solve for x
    x = 7,486,921,729/41,418
  6. Step 6: Final answer
    x = 180,764.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.