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Finding the Third Proportional to 108,296 and 169,924

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Solution

The third proportional to 108,296 and 169,924 is: 266,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,296 : 169,924 = 169,924 : x
  2. Step 2: Convert to fraction form
    108,296/169,924 = 169,924/x
  3. Step 3: Cross multiply
    108,296x = 169,924 × 169,924
  4. Step 4: Simplify right side
    108,296x = 28,874,165,776
  5. Step 5: Solve for x
    x = 28,874,165,776/108,296
  6. Step 6: Final answer
    x = 266,622.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.