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Finding the Third Proportional to 108,530 and 168,029

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Solution

The third proportional to 108,530 and 168,029 is: 260,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530 : 168,029 = 168,029 : x
  2. Step 2: Convert to fraction form
    108,530/168,029 = 168,029/x
  3. Step 3: Cross multiply
    108,530x = 168,029 × 168,029
  4. Step 4: Simplify right side
    108,530x = 28,233,744,841
  5. Step 5: Solve for x
    x = 28,233,744,841/108,530
  6. Step 6: Final answer
    x = 260,146.92

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Why These Related Problems?

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