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Finding the Third Proportional to 72,228.38 and 95,863.50

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Solution

The third proportional to 72,228.38 and 95,863.50 is: 127,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,228.38 : 95,863.50 = 95,863.50 : x
  2. Step 2: Convert to fraction form
    72,228.38/95,863.50 = 95,863.50/x
  3. Step 3: Cross multiply
    72,228.38x = 95,863.50 × 95,863.50
  4. Step 4: Simplify right side
    72,228.38x = 9,189,810,632.25
  5. Step 5: Solve for x
    x = 9,189,810,632.25/72,228.38
  6. Step 6: Final answer
    x = 127,232.69

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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.