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Finding the Third Proportional to 108,654 and 172,881

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Solution

The third proportional to 108,654 and 172,881 is: 275,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,654 : 172,881 = 172,881 : x
  2. Step 2: Convert to fraction form
    108,654/172,881 = 172,881/x
  3. Step 3: Cross multiply
    108,654x = 172,881 × 172,881
  4. Step 4: Simplify right side
    108,654x = 29,887,840,161
  5. Step 5: Solve for x
    x = 29,887,840,161/108,654
  6. Step 6: Final answer
    x = 275,073.54

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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.