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Finding the Third Proportional to 72,242.50 and 95,857.50

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Solution

The third proportional to 72,242.50 and 95,857.50 is: 127,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,242.50 : 95,857.50 = 95,857.50 : x
  2. Step 2: Convert to fraction form
    72,242.50/95,857.50 = 95,857.50/x
  3. Step 3: Cross multiply
    72,242.50x = 95,857.50 × 95,857.50
  4. Step 4: Simplify right side
    72,242.50x = 9,188,660,306.25
  5. Step 5: Solve for x
    x = 9,188,660,306.25/72,242.50
  6. Step 6: Final answer
    x = 127,191.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.