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Finding the Third Proportional to 108,121.50 and 172,175.25

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Solution

The third proportional to 108,121.50 and 172,175.25 is: 274,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,121.50 : 172,175.25 = 172,175.25 : x
  2. Step 2: Convert to fraction form
    108,121.50/172,175.25 = 172,175.25/x
  3. Step 3: Cross multiply
    108,121.50x = 172,175.25 × 172,175.25
  4. Step 4: Simplify right side
    108,121.50x = 29,644,316,712.56
  5. Step 5: Solve for x
    x = 29,644,316,712.56/108,121.50
  6. Step 6: Final answer
    x = 274,175.97

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Why These Related Problems?

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