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Finding the Third Proportional to 102,159 and 168,831

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Solution

The third proportional to 102,159 and 168,831 is: 279,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159 : 168,831 = 168,831 : x
  2. Step 2: Convert to fraction form
    102,159/168,831 = 168,831/x
  3. Step 3: Cross multiply
    102,159x = 168,831 × 168,831
  4. Step 4: Simplify right side
    102,159x = 28,503,906,561
  5. Step 5: Solve for x
    x = 28,503,906,561/102,159
  6. Step 6: Final answer
    x = 279,015.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.