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Finding the Third Proportional to 108,264 and 168,290

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Solution

The third proportional to 108,264 and 168,290 is: 261,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,264 : 168,290 = 168,290 : x
  2. Step 2: Convert to fraction form
    108,264/168,290 = 168,290/x
  3. Step 3: Cross multiply
    108,264x = 168,290 × 168,290
  4. Step 4: Simplify right side
    108,264x = 28,321,524,100
  5. Step 5: Solve for x
    x = 28,321,524,100/108,264
  6. Step 6: Final answer
    x = 261,596.88

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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.