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Finding the Third Proportional to 67,756 and 100,651

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Solution

The third proportional to 67,756 and 100,651 is: 149,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,756 : 100,651 = 100,651 : x
  2. Step 2: Convert to fraction form
    67,756/100,651 = 100,651/x
  3. Step 3: Cross multiply
    67,756x = 100,651 × 100,651
  4. Step 4: Simplify right side
    67,756x = 10,130,623,801
  5. Step 5: Solve for x
    x = 10,130,623,801/67,756
  6. Step 6: Final answer
    x = 149,516.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.