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Finding the Third Proportional to 60,266 and 127,822

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Solution

The third proportional to 60,266 and 127,822 is: 271,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,266 : 127,822 = 127,822 : x
  2. Step 2: Convert to fraction form
    60,266/127,822 = 127,822/x
  3. Step 3: Cross multiply
    60,266x = 127,822 × 127,822
  4. Step 4: Simplify right side
    60,266x = 16,338,463,684
  5. Step 5: Solve for x
    x = 16,338,463,684/60,266
  6. Step 6: Final answer
    x = 271,105.83

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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.