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Finding the Third Proportional to 104,469 and 156,703

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Solution

The third proportional to 104,469 and 156,703 is: 235,053.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,469 : 156,703 = 156,703 : x
  2. Step 2: Convert to fraction form
    104,469/156,703 = 156,703/x
  3. Step 3: Cross multiply
    104,469x = 156,703 × 156,703
  4. Step 4: Simplify right side
    104,469x = 24,555,830,209
  5. Step 5: Solve for x
    x = 24,555,830,209/104,469
  6. Step 6: Final answer
    x = 235,053.75

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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.