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Finding the Third Proportional to 72,221.63 and 95,853.38

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Solution

The third proportional to 72,221.63 and 95,853.38 is: 127,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,221.63 : 95,853.38 = 95,853.38 : x
  2. Step 2: Convert to fraction form
    72,221.63/95,853.38 = 95,853.38/x
  3. Step 3: Cross multiply
    72,221.63x = 95,853.38 × 95,853.38
  4. Step 4: Simplify right side
    72,221.63x = 9,187,869,498.89
  5. Step 5: Solve for x
    x = 9,187,869,498.89/72,221.63
  6. Step 6: Final answer
    x = 127,217.71

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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.