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Finding the Third Proportional to 54,909.93 and 83,524.61

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Solution

The third proportional to 54,909.93 and 83,524.61 is: 127,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909.93 : 83,524.61 = 83,524.61 : x
  2. Step 2: Convert to fraction form
    54,909.93/83,524.61 = 83,524.61/x
  3. Step 3: Cross multiply
    54,909.93x = 83,524.61 × 83,524.61
  4. Step 4: Simplify right side
    54,909.93x = 6,976,359,718.71
  5. Step 5: Solve for x
    x = 6,976,359,718.71/54,909.93
  6. Step 6: Final answer
    x = 127,050.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.