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Finding the Third Proportional to 126,026 and 191,667

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Solution

The third proportional to 126,026 and 191,667 is: 291,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,026 : 191,667 = 191,667 : x
  2. Step 2: Convert to fraction form
    126,026/191,667 = 191,667/x
  3. Step 3: Cross multiply
    126,026x = 191,667 × 191,667
  4. Step 4: Simplify right side
    126,026x = 36,736,238,889
  5. Step 5: Solve for x
    x = 36,736,238,889/126,026
  6. Step 6: Final answer
    x = 291,497.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.