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Finding the Third Proportional to 61,228 and 127,996

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Solution

The third proportional to 61,228 and 127,996 is: 267,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,228 : 127,996 = 127,996 : x
  2. Step 2: Convert to fraction form
    61,228/127,996 = 127,996/x
  3. Step 3: Cross multiply
    61,228x = 127,996 × 127,996
  4. Step 4: Simplify right side
    61,228x = 16,382,976,016
  5. Step 5: Solve for x
    x = 16,382,976,016/61,228
  6. Step 6: Final answer
    x = 267,573.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.