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Finding the Third Proportional to 108,558 and 172,308

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Solution

The third proportional to 108,558 and 172,308 is: 273,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,558 : 172,308 = 172,308 : x
  2. Step 2: Convert to fraction form
    108,558/172,308 = 172,308/x
  3. Step 3: Cross multiply
    108,558x = 172,308 × 172,308
  4. Step 4: Simplify right side
    108,558x = 29,690,046,864
  5. Step 5: Solve for x
    x = 29,690,046,864/108,558
  6. Step 6: Final answer
    x = 273,494.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.