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Finding the Third Proportional to 127,392 and 276,930

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Solution

The third proportional to 127,392 and 276,930 is: 602,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,392 : 276,930 = 276,930 : x
  2. Step 2: Convert to fraction form
    127,392/276,930 = 276,930/x
  3. Step 3: Cross multiply
    127,392x = 276,930 × 276,930
  4. Step 4: Simplify right side
    127,392x = 76,690,224,900
  5. Step 5: Solve for x
    x = 76,690,224,900/127,392
  6. Step 6: Final answer
    x = 602,001.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.