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Finding the Third Proportional to 108,853 and 168,134

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Solution

The third proportional to 108,853 and 168,134 is: 259,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853 : 168,134 = 168,134 : x
  2. Step 2: Convert to fraction form
    108,853/168,134 = 168,134/x
  3. Step 3: Cross multiply
    108,853x = 168,134 × 168,134
  4. Step 4: Simplify right side
    108,853x = 28,269,041,956
  5. Step 5: Solve for x
    x = 28,269,041,956/108,853
  6. Step 6: Final answer
    x = 259,699.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.