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Finding the Third Proportional to 67,789 and 103,065

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Solution

The third proportional to 67,789 and 103,065 is: 156,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,789 : 103,065 = 103,065 : x
  2. Step 2: Convert to fraction form
    67,789/103,065 = 103,065/x
  3. Step 3: Cross multiply
    67,789x = 103,065 × 103,065
  4. Step 4: Simplify right side
    67,789x = 10,622,394,225
  5. Step 5: Solve for x
    x = 10,622,394,225/67,789
  6. Step 6: Final answer
    x = 156,697.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.