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Finding the Third Proportional to 79,768 and 123,860

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Solution

The third proportional to 79,768 and 123,860 is: 192,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,768 : 123,860 = 123,860 : x
  2. Step 2: Convert to fraction form
    79,768/123,860 = 123,860/x
  3. Step 3: Cross multiply
    79,768x = 123,860 × 123,860
  4. Step 4: Simplify right side
    79,768x = 15,341,299,600
  5. Step 5: Solve for x
    x = 15,341,299,600/79,768
  6. Step 6: Final answer
    x = 192,323.98

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