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Finding the Third Proportional to 120,883.50 and 169,931.25

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Solution

The third proportional to 120,883.50 and 169,931.25 is: 238,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,883.50 : 169,931.25 = 169,931.25 : x
  2. Step 2: Convert to fraction form
    120,883.50/169,931.25 = 169,931.25/x
  3. Step 3: Cross multiply
    120,883.50x = 169,931.25 × 169,931.25
  4. Step 4: Simplify right side
    120,883.50x = 28,876,629,726.56
  5. Step 5: Solve for x
    x = 28,876,629,726.56/120,883.50
  6. Step 6: Final answer
    x = 238,879.83

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.