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Finding the Third Proportional to 109,358.25 and 171,327.75

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Solution

The third proportional to 109,358.25 and 171,327.75 is: 268,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.25 : 171,327.75 = 171,327.75 : x
  2. Step 2: Convert to fraction form
    109,358.25/171,327.75 = 171,327.75/x
  3. Step 3: Cross multiply
    109,358.25x = 171,327.75 × 171,327.75
  4. Step 4: Simplify right side
    109,358.25x = 29,353,197,920.06
  5. Step 5: Solve for x
    x = 29,353,197,920.06/109,358.25
  6. Step 6: Final answer
    x = 268,413.20

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.