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Finding the Third Proportional to 127,944 and 270,650

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Solution

The third proportional to 127,944 and 270,650 is: 572,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,944 : 270,650 = 270,650 : x
  2. Step 2: Convert to fraction form
    127,944/270,650 = 270,650/x
  3. Step 3: Cross multiply
    127,944x = 270,650 × 270,650
  4. Step 4: Simplify right side
    127,944x = 73,251,422,500
  5. Step 5: Solve for x
    x = 73,251,422,500/127,944
  6. Step 6: Final answer
    x = 572,527.22

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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.