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Finding the Third Proportional to 106,251.75 and 160,401.38

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Solution

The third proportional to 106,251.75 and 160,401.38 is: 242,147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,251.75 : 160,401.38 = 160,401.38 : x
  2. Step 2: Convert to fraction form
    106,251.75/160,401.38 = 160,401.38/x
  3. Step 3: Cross multiply
    106,251.75x = 160,401.38 × 160,401.38
  4. Step 4: Simplify right side
    106,251.75x = 25,728,601,101.89
  5. Step 5: Solve for x
    x = 25,728,601,101.89/106,251.75
  6. Step 6: Final answer
    x = 242,147.55

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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.