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Finding the Third Proportional to 126,850 and 166,838

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Solution

The third proportional to 126,850 and 166,838 is: 219,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,850 : 166,838 = 166,838 : x
  2. Step 2: Convert to fraction form
    126,850/166,838 = 166,838/x
  3. Step 3: Cross multiply
    126,850x = 166,838 × 166,838
  4. Step 4: Simplify right side
    126,850x = 27,834,918,244
  5. Step 5: Solve for x
    x = 27,834,918,244/126,850
  6. Step 6: Final answer
    x = 219,431.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.