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Finding the Third Proportional to 92,344 and 138,624

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Solution

The third proportional to 92,344 and 138,624 is: 208,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,344 : 138,624 = 138,624 : x
  2. Step 2: Convert to fraction form
    92,344/138,624 = 138,624/x
  3. Step 3: Cross multiply
    92,344x = 138,624 × 138,624
  4. Step 4: Simplify right side
    92,344x = 19,216,613,376
  5. Step 5: Solve for x
    x = 19,216,613,376/92,344
  6. Step 6: Final answer
    x = 208,098.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.