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Finding the Third Proportional to 69,769 and 104,380

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Solution

The third proportional to 69,769 and 104,380 is: 156,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,769 : 104,380 = 104,380 : x
  2. Step 2: Convert to fraction form
    69,769/104,380 = 104,380/x
  3. Step 3: Cross multiply
    69,769x = 104,380 × 104,380
  4. Step 4: Simplify right side
    69,769x = 10,895,184,400
  5. Step 5: Solve for x
    x = 10,895,184,400/69,769
  6. Step 6: Final answer
    x = 156,160.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.