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Finding the Third Proportional to 71,178.25 and 107,233

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Solution

The third proportional to 71,178.25 and 107,233 is: 161,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,178.25 : 107,233 = 107,233 : x
  2. Step 2: Convert to fraction form
    71,178.25/107,233 = 107,233/x
  3. Step 3: Cross multiply
    71,178.25x = 107,233 × 107,233
  4. Step 4: Simplify right side
    71,178.25x = 11,498,916,289
  5. Step 5: Solve for x
    x = 11,498,916,289/71,178.25
  6. Step 6: Final answer
    x = 161,550.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.