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Finding the Third Proportional to 126,293 and 195,069

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Solution

The third proportional to 126,293 and 195,069 is: 301,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,293 : 195,069 = 195,069 : x
  2. Step 2: Convert to fraction form
    126,293/195,069 = 195,069/x
  3. Step 3: Cross multiply
    126,293x = 195,069 × 195,069
  4. Step 4: Simplify right side
    126,293x = 38,051,914,761
  5. Step 5: Solve for x
    x = 38,051,914,761/126,293
  6. Step 6: Final answer
    x = 301,298.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.