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Finding the Third Proportional to 79,491 and 111,414

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Solution

The third proportional to 79,491 and 111,414 is: 156,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,491 : 111,414 = 111,414 : x
  2. Step 2: Convert to fraction form
    79,491/111,414 = 111,414/x
  3. Step 3: Cross multiply
    79,491x = 111,414 × 111,414
  4. Step 4: Simplify right side
    79,491x = 12,413,079,396
  5. Step 5: Solve for x
    x = 12,413,079,396/79,491
  6. Step 6: Final answer
    x = 156,157.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.