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Finding the Third Proportional to 111,650 and 151,612

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Solution

The third proportional to 111,650 and 151,612 is: 205,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,650 : 151,612 = 151,612 : x
  2. Step 2: Convert to fraction form
    111,650/151,612 = 151,612/x
  3. Step 3: Cross multiply
    111,650x = 151,612 × 151,612
  4. Step 4: Simplify right side
    111,650x = 22,986,198,544
  5. Step 5: Solve for x
    x = 22,986,198,544/111,650
  6. Step 6: Final answer
    x = 205,877.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.