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Finding the Third Proportional to 126,468 and 190,536.75

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Solution

The third proportional to 126,468 and 190,536.75 is: 287,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,468 : 190,536.75 = 190,536.75 : x
  2. Step 2: Convert to fraction form
    126,468/190,536.75 = 190,536.75/x
  3. Step 3: Cross multiply
    126,468x = 190,536.75 × 190,536.75
  4. Step 4: Simplify right side
    126,468x = 36,304,253,100.56
  5. Step 5: Solve for x
    x = 36,304,253,100.56/126,468
  6. Step 6: Final answer
    x = 287,062.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.