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Finding the Third Proportional to 127,769 and 271,927

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Solution

The third proportional to 127,769 and 271,927 is: 578,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,769 : 271,927 = 271,927 : x
  2. Step 2: Convert to fraction form
    127,769/271,927 = 271,927/x
  3. Step 3: Cross multiply
    127,769x = 271,927 × 271,927
  4. Step 4: Simplify right side
    127,769x = 73,944,293,329
  5. Step 5: Solve for x
    x = 73,944,293,329/127,769
  6. Step 6: Final answer
    x = 578,734.23

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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.