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Finding the Third Proportional to 102,941 and 149,720

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Solution

The third proportional to 102,941 and 149,720 is: 217,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,941 : 149,720 = 149,720 : x
  2. Step 2: Convert to fraction form
    102,941/149,720 = 149,720/x
  3. Step 3: Cross multiply
    102,941x = 149,720 × 149,720
  4. Step 4: Simplify right side
    102,941x = 22,416,078,400
  5. Step 5: Solve for x
    x = 22,416,078,400/102,941
  6. Step 6: Final answer
    x = 217,756.56

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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.