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Finding the Third Proportional to 72,726.29 and 110,588.73

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Solution

The third proportional to 72,726.29 and 110,588.73 is: 168,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726.29 : 110,588.73 = 110,588.73 : x
  2. Step 2: Convert to fraction form
    72,726.29/110,588.73 = 110,588.73/x
  3. Step 3: Cross multiply
    72,726.29x = 110,588.73 × 110,588.73
  4. Step 4: Simplify right side
    72,726.29x = 12,229,867,306.69
  5. Step 5: Solve for x
    x = 12,229,867,306.69/72,726.29
  6. Step 6: Final answer
    x = 168,162.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.