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Finding the Third Proportional to 79,714 and 111,715

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Solution

The third proportional to 79,714 and 111,715 is: 156,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,714 : 111,715 = 111,715 : x
  2. Step 2: Convert to fraction form
    79,714/111,715 = 111,715/x
  3. Step 3: Cross multiply
    79,714x = 111,715 × 111,715
  4. Step 4: Simplify right side
    79,714x = 12,480,241,225
  5. Step 5: Solve for x
    x = 12,480,241,225/79,714
  6. Step 6: Final answer
    x = 156,562.73

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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.