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Finding the Third Proportional to 92,105 and 138,499

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Solution

The third proportional to 92,105 and 138,499 is: 208,262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,105 : 138,499 = 138,499 : x
  2. Step 2: Convert to fraction form
    92,105/138,499 = 138,499/x
  3. Step 3: Cross multiply
    92,105x = 138,499 × 138,499
  4. Step 4: Simplify right side
    92,105x = 19,181,973,001
  5. Step 5: Solve for x
    x = 19,181,973,001/92,105
  6. Step 6: Final answer
    x = 208,262.02

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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.