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Finding the Third Proportional to 79,734 and 123,380

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Solution

The third proportional to 79,734 and 123,380 is: 190,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,734 : 123,380 = 123,380 : x
  2. Step 2: Convert to fraction form
    79,734/123,380 = 123,380/x
  3. Step 3: Cross multiply
    79,734x = 123,380 × 123,380
  4. Step 4: Simplify right side
    79,734x = 15,222,624,400
  5. Step 5: Solve for x
    x = 15,222,624,400/79,734
  6. Step 6: Final answer
    x = 190,917.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.