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Finding the Third Proportional to 72,238.13 and 95,851.88

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Solution

The third proportional to 72,238.13 and 95,851.88 is: 127,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,238.13 : 95,851.88 = 95,851.88 : x
  2. Step 2: Convert to fraction form
    72,238.13/95,851.88 = 95,851.88/x
  3. Step 3: Cross multiply
    72,238.13x = 95,851.88 × 95,851.88
  4. Step 4: Simplify right side
    72,238.13x = 9,187,581,941.02
  5. Step 5: Solve for x
    x = 9,187,581,941.02/72,238.13
  6. Step 6: Final answer
    x = 127,184.67

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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.