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Finding the Third Proportional to 127,029 and 270,933

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Solution

The third proportional to 127,029 and 270,933 is: 577,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,029 : 270,933 = 270,933 : x
  2. Step 2: Convert to fraction form
    127,029/270,933 = 270,933/x
  3. Step 3: Cross multiply
    127,029x = 270,933 × 270,933
  4. Step 4: Simplify right side
    127,029x = 73,404,690,489
  5. Step 5: Solve for x
    x = 73,404,690,489/127,029
  6. Step 6: Final answer
    x = 577,857.74

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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.