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Finding the Third Proportional to 37,149.75 and 81,069.75

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Solution

The third proportional to 37,149.75 and 81,069.75 is: 176,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.75 : 81,069.75 = 81,069.75 : x
  2. Step 2: Convert to fraction form
    37,149.75/81,069.75 = 81,069.75/x
  3. Step 3: Cross multiply
    37,149.75x = 81,069.75 × 81,069.75
  4. Step 4: Simplify right side
    37,149.75x = 6,572,304,365.06
  5. Step 5: Solve for x
    x = 6,572,304,365.06/37,149.75
  6. Step 6: Final answer
    x = 176,913.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.