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Finding the Third Proportional to 127,031 and 270,934

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Solution

The third proportional to 127,031 and 270,934 is: 577,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,031 : 270,934 = 270,934 : x
  2. Step 2: Convert to fraction form
    127,031/270,934 = 270,934/x
  3. Step 3: Cross multiply
    127,031x = 270,934 × 270,934
  4. Step 4: Simplify right side
    127,031x = 73,405,232,356
  5. Step 5: Solve for x
    x = 73,405,232,356/127,031
  6. Step 6: Final answer
    x = 577,852.90

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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.