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Finding the Third Proportional to 69,744 and 106,708

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Solution

The third proportional to 69,744 and 106,708 is: 163,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,744 : 106,708 = 106,708 : x
  2. Step 2: Convert to fraction form
    69,744/106,708 = 106,708/x
  3. Step 3: Cross multiply
    69,744x = 106,708 × 106,708
  4. Step 4: Simplify right side
    69,744x = 11,386,597,264
  5. Step 5: Solve for x
    x = 11,386,597,264/69,744
  6. Step 6: Final answer
    x = 163,262.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.