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Finding the Third Proportional to 127,723.50 and 173,540.81

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Solution

The third proportional to 127,723.50 and 173,540.81 is: 235,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,723.50 : 173,540.81 = 173,540.81 : x
  2. Step 2: Convert to fraction form
    127,723.50/173,540.81 = 173,540.81/x
  3. Step 3: Cross multiply
    127,723.50x = 173,540.81 × 173,540.81
  4. Step 4: Simplify right side
    127,723.50x = 30,116,413,603.16
  5. Step 5: Solve for x
    x = 30,116,413,603.16/127,723.50
  6. Step 6: Final answer
    x = 235,793.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.