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Finding the Third Proportional to 106,405 and 160,876

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Solution

The third proportional to 106,405 and 160,876 is: 243,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405 : 160,876 = 160,876 : x
  2. Step 2: Convert to fraction form
    106,405/160,876 = 160,876/x
  3. Step 3: Cross multiply
    106,405x = 160,876 × 160,876
  4. Step 4: Simplify right side
    106,405x = 25,881,087,376
  5. Step 5: Solve for x
    x = 25,881,087,376/106,405
  6. Step 6: Final answer
    x = 243,231.87

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Why These Related Problems?

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