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Finding the Third Proportional to 79,512 and 111,435

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Solution

The third proportional to 79,512 and 111,435 is: 156,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,512 : 111,435 = 111,435 : x
  2. Step 2: Convert to fraction form
    79,512/111,435 = 111,435/x
  3. Step 3: Cross multiply
    79,512x = 111,435 × 111,435
  4. Step 4: Simplify right side
    79,512x = 12,417,759,225
  5. Step 5: Solve for x
    x = 12,417,759,225/79,512
  6. Step 6: Final answer
    x = 156,174.66

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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.