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Finding the Third Proportional to 79,472 and 111,396

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Solution

The third proportional to 79,472 and 111,396 is: 156,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,472 : 111,396 = 111,396 : x
  2. Step 2: Convert to fraction form
    79,472/111,396 = 111,396/x
  3. Step 3: Cross multiply
    79,472x = 111,396 × 111,396
  4. Step 4: Simplify right side
    79,472x = 12,409,068,816
  5. Step 5: Solve for x
    x = 12,409,068,816/79,472
  6. Step 6: Final answer
    x = 156,143.91

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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.