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Finding the Third Proportional to 79,292 and 108,727

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Solution

The third proportional to 79,292 and 108,727 is: 149,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,292 : 108,727 = 108,727 : x
  2. Step 2: Convert to fraction form
    79,292/108,727 = 108,727/x
  3. Step 3: Cross multiply
    79,292x = 108,727 × 108,727
  4. Step 4: Simplify right side
    79,292x = 11,821,560,529
  5. Step 5: Solve for x
    x = 11,821,560,529/79,292
  6. Step 6: Final answer
    x = 149,088.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.