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Finding the Third Proportional to 108,800 and 152,960

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Solution

The third proportional to 108,800 and 152,960 is: 215,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,800 : 152,960 = 152,960 : x
  2. Step 2: Convert to fraction form
    108,800/152,960 = 152,960/x
  3. Step 3: Cross multiply
    108,800x = 152,960 × 152,960
  4. Step 4: Simplify right side
    108,800x = 23,396,761,600
  5. Step 5: Solve for x
    x = 23,396,761,600/108,800
  6. Step 6: Final answer
    x = 215,043.76

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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.