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Finding the Third Proportional to 127,026 and 270,924

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Solution

The third proportional to 127,026 and 270,924 is: 577,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,026 : 270,924 = 270,924 : x
  2. Step 2: Convert to fraction form
    127,026/270,924 = 270,924/x
  3. Step 3: Cross multiply
    127,026x = 270,924 × 270,924
  4. Step 4: Simplify right side
    127,026x = 73,399,813,776
  5. Step 5: Solve for x
    x = 73,399,813,776/127,026
  6. Step 6: Final answer
    x = 577,832.99

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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.