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Finding the Third Proportional to 78,914 and 111,000

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Solution

The third proportional to 78,914 and 111,000 is: 156,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914 : 111,000 = 111,000 : x
  2. Step 2: Convert to fraction form
    78,914/111,000 = 111,000/x
  3. Step 3: Cross multiply
    78,914x = 111,000 × 111,000
  4. Step 4: Simplify right side
    78,914x = 12,321,000,000
  5. Step 5: Solve for x
    x = 12,321,000,000/78,914
  6. Step 6: Final answer
    x = 156,131.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.