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Finding the Third Proportional to 127,008 and 279,932

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Solution

The third proportional to 127,008 and 279,932 is: 616,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,008 : 279,932 = 279,932 : x
  2. Step 2: Convert to fraction form
    127,008/279,932 = 279,932/x
  3. Step 3: Cross multiply
    127,008x = 279,932 × 279,932
  4. Step 4: Simplify right side
    127,008x = 78,361,924,624
  5. Step 5: Solve for x
    x = 78,361,924,624/127,008
  6. Step 6: Final answer
    x = 616,984.16

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