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Finding the Third Proportional to 108,718 and 172,958

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Solution

The third proportional to 108,718 and 172,958 is: 275,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,718 : 172,958 = 172,958 : x
  2. Step 2: Convert to fraction form
    108,718/172,958 = 172,958/x
  3. Step 3: Cross multiply
    108,718x = 172,958 × 172,958
  4. Step 4: Simplify right side
    108,718x = 29,914,469,764
  5. Step 5: Solve for x
    x = 29,914,469,764/108,718
  6. Step 6: Final answer
    x = 275,156.55

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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.