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Finding the Third Proportional to 83,046.94 and 124,550.16

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Solution

The third proportional to 83,046.94 and 124,550.16 is: 186,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,046.94 : 124,550.16 = 124,550.16 : x
  2. Step 2: Convert to fraction form
    83,046.94/124,550.16 = 124,550.16/x
  3. Step 3: Cross multiply
    83,046.94x = 124,550.16 × 124,550.16
  4. Step 4: Simplify right side
    83,046.94x = 15,512,741,421.90
  5. Step 5: Solve for x
    x = 15,512,741,421.90/83,046.94
  6. Step 6: Final answer
    x = 186,794.86

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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.