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Finding the Third Proportional to 91,072.50 and 142,560.75

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Solution

The third proportional to 91,072.50 and 142,560.75 is: 223,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,072.50 : 142,560.75 = 142,560.75 : x
  2. Step 2: Convert to fraction form
    91,072.50/142,560.75 = 142,560.75/x
  3. Step 3: Cross multiply
    91,072.50x = 142,560.75 × 142,560.75
  4. Step 4: Simplify right side
    91,072.50x = 20,323,567,440.56
  5. Step 5: Solve for x
    x = 20,323,567,440.56/91,072.50
  6. Step 6: Final answer
    x = 223,158.12

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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.