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Finding the Third Proportional to 90,489.66 and 137,679.75

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Solution

The third proportional to 90,489.66 and 137,679.75 is: 209,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,489.66 : 137,679.75 = 137,679.75 : x
  2. Step 2: Convert to fraction form
    90,489.66/137,679.75 = 137,679.75/x
  3. Step 3: Cross multiply
    90,489.66x = 137,679.75 × 137,679.75
  4. Step 4: Simplify right side
    90,489.66x = 18,955,713,560.06
  5. Step 5: Solve for x
    x = 18,955,713,560.06/90,489.66
  6. Step 6: Final answer
    x = 209,479.34

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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.