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Finding the Third Proportional to 108,718 and 172,960

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Solution

The third proportional to 108,718 and 172,960 is: 275,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,718 : 172,960 = 172,960 : x
  2. Step 2: Convert to fraction form
    108,718/172,960 = 172,960/x
  3. Step 3: Cross multiply
    108,718x = 172,960 × 172,960
  4. Step 4: Simplify right side
    108,718x = 29,915,161,600
  5. Step 5: Solve for x
    x = 29,915,161,600/108,718
  6. Step 6: Final answer
    x = 275,162.91

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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.