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Finding the Third Proportional to 81,742 and 124,990

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Solution

The third proportional to 81,742 and 124,990 is: 191,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,742 : 124,990 = 124,990 : x
  2. Step 2: Convert to fraction form
    81,742/124,990 = 124,990/x
  3. Step 3: Cross multiply
    81,742x = 124,990 × 124,990
  4. Step 4: Simplify right side
    81,742x = 15,622,500,100
  5. Step 5: Solve for x
    x = 15,622,500,100/81,742
  6. Step 6: Final answer
    x = 191,119.62

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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.