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Finding the Third Proportional to 102,942 and 149,722

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Solution

The third proportional to 102,942 and 149,722 is: 217,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942 : 149,722 = 149,722 : x
  2. Step 2: Convert to fraction form
    102,942/149,722 = 149,722/x
  3. Step 3: Cross multiply
    102,942x = 149,722 × 149,722
  4. Step 4: Simplify right side
    102,942x = 22,416,677,284
  5. Step 5: Solve for x
    x = 22,416,677,284/102,942
  6. Step 6: Final answer
    x = 217,760.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.