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Finding the Third Proportional to 113,844 and 169,843

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Solution

The third proportional to 113,844 and 169,843 is: 253,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,844 : 169,843 = 169,843 : x
  2. Step 2: Convert to fraction form
    113,844/169,843 = 169,843/x
  3. Step 3: Cross multiply
    113,844x = 169,843 × 169,843
  4. Step 4: Simplify right side
    113,844x = 28,846,644,649
  5. Step 5: Solve for x
    x = 28,846,644,649/113,844
  6. Step 6: Final answer
    x = 253,387.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.