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Finding the Third Proportional to 127,112 and 279,760

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Solution

The third proportional to 127,112 and 279,760 is: 615,722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,112 : 279,760 = 279,760 : x
  2. Step 2: Convert to fraction form
    127,112/279,760 = 279,760/x
  3. Step 3: Cross multiply
    127,112x = 279,760 × 279,760
  4. Step 4: Simplify right side
    127,112x = 78,265,657,600
  5. Step 5: Solve for x
    x = 78,265,657,600/127,112
  6. Step 6: Final answer
    x = 615,722.02

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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.