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Finding the Third Proportional to 81,508 and 124,684

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Solution

The third proportional to 81,508 and 124,684 is: 190,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,508 : 124,684 = 124,684 : x
  2. Step 2: Convert to fraction form
    81,508/124,684 = 124,684/x
  3. Step 3: Cross multiply
    81,508x = 124,684 × 124,684
  4. Step 4: Simplify right side
    81,508x = 15,546,099,856
  5. Step 5: Solve for x
    x = 15,546,099,856/81,508
  6. Step 6: Final answer
    x = 190,730.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.