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Finding the Third Proportional to 83,074.36 and 124,585.59

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Solution

The third proportional to 83,074.36 and 124,585.59 is: 186,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074.36 : 124,585.59 = 124,585.59 : x
  2. Step 2: Convert to fraction form
    83,074.36/124,585.59 = 124,585.59/x
  3. Step 3: Cross multiply
    83,074.36x = 124,585.59 × 124,585.59
  4. Step 4: Simplify right side
    83,074.36x = 15,521,570,170.04
  5. Step 5: Solve for x
    x = 15,521,570,170.04/83,074.36
  6. Step 6: Final answer
    x = 186,839.48

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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.