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Finding the Third Proportional to 127,049 and 270,970

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Solution

The third proportional to 127,049 and 270,970 is: 577,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,049 : 270,970 = 270,970 : x
  2. Step 2: Convert to fraction form
    127,049/270,970 = 270,970/x
  3. Step 3: Cross multiply
    127,049x = 270,970 × 270,970
  4. Step 4: Simplify right side
    127,049x = 73,424,740,900
  5. Step 5: Solve for x
    x = 73,424,740,900/127,049
  6. Step 6: Final answer
    x = 577,924.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.