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Finding the Third Proportional to 91,772.50 and 141,842.75

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Solution

The third proportional to 91,772.50 and 141,842.75 is: 219,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,772.50 : 141,842.75 = 141,842.75 : x
  2. Step 2: Convert to fraction form
    91,772.50/141,842.75 = 141,842.75/x
  3. Step 3: Cross multiply
    91,772.50x = 141,842.75 × 141,842.75
  4. Step 4: Simplify right side
    91,772.50x = 20,119,365,727.56
  5. Step 5: Solve for x
    x = 20,119,365,727.56/91,772.50
  6. Step 6: Final answer
    x = 219,230.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.