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Finding the Third Proportional to 127,894 and 281,168

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Solution

The third proportional to 127,894 and 281,168 is: 618,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,894 : 281,168 = 281,168 : x
  2. Step 2: Convert to fraction form
    127,894/281,168 = 281,168/x
  3. Step 3: Cross multiply
    127,894x = 281,168 × 281,168
  4. Step 4: Simplify right side
    127,894x = 79,055,444,224
  5. Step 5: Solve for x
    x = 79,055,444,224/127,894
  6. Step 6: Final answer
    x = 618,132.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.