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Finding the Third Proportional to 77,794 and 120,691

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Solution

The third proportional to 77,794 and 120,691 is: 187,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794 : 120,691 = 120,691 : x
  2. Step 2: Convert to fraction form
    77,794/120,691 = 120,691/x
  3. Step 3: Cross multiply
    77,794x = 120,691 × 120,691
  4. Step 4: Simplify right side
    77,794x = 14,566,317,481
  5. Step 5: Solve for x
    x = 14,566,317,481/77,794
  6. Step 6: Final answer
    x = 187,242.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.