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Finding the Third Proportional to 108,980 and 168,816

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Solution

The third proportional to 108,980 and 168,816 is: 261,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,980 : 168,816 = 168,816 : x
  2. Step 2: Convert to fraction form
    108,980/168,816 = 168,816/x
  3. Step 3: Cross multiply
    108,980x = 168,816 × 168,816
  4. Step 4: Simplify right side
    108,980x = 28,498,841,856
  5. Step 5: Solve for x
    x = 28,498,841,856/108,980
  6. Step 6: Final answer
    x = 261,505.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.