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Finding the Third Proportional to 126,266 and 268,102

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Solution

The third proportional to 126,266 and 268,102 is: 569,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,266 : 268,102 = 268,102 : x
  2. Step 2: Convert to fraction form
    126,266/268,102 = 268,102/x
  3. Step 3: Cross multiply
    126,266x = 268,102 × 268,102
  4. Step 4: Simplify right side
    126,266x = 71,878,682,404
  5. Step 5: Solve for x
    x = 71,878,682,404/126,266
  6. Step 6: Final answer
    x = 569,263.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.