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Finding the Third Proportional to 79,196 and 123,978

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Solution

The third proportional to 79,196 and 123,978 is: 194,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,196 : 123,978 = 123,978 : x
  2. Step 2: Convert to fraction form
    79,196/123,978 = 123,978/x
  3. Step 3: Cross multiply
    79,196x = 123,978 × 123,978
  4. Step 4: Simplify right side
    79,196x = 15,370,544,484
  5. Step 5: Solve for x
    x = 15,370,544,484/79,196
  6. Step 6: Final answer
    x = 194,082.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.