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Finding the Third Proportional to 91,065.75 and 142,542.75

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Solution

The third proportional to 91,065.75 and 142,542.75 is: 223,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,065.75 : 142,542.75 = 142,542.75 : x
  2. Step 2: Convert to fraction form
    91,065.75/142,542.75 = 142,542.75/x
  3. Step 3: Cross multiply
    91,065.75x = 142,542.75 × 142,542.75
  4. Step 4: Simplify right side
    91,065.75x = 20,318,435,577.56
  5. Step 5: Solve for x
    x = 20,318,435,577.56/91,065.75
  6. Step 6: Final answer
    x = 223,118.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.