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Finding the Third Proportional to 127,767 and 271,923

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Solution

The third proportional to 127,767 and 271,923 is: 578,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,767 : 271,923 = 271,923 : x
  2. Step 2: Convert to fraction form
    127,767/271,923 = 271,923/x
  3. Step 3: Cross multiply
    127,767x = 271,923 × 271,923
  4. Step 4: Simplify right side
    127,767x = 73,942,117,929
  5. Step 5: Solve for x
    x = 73,942,117,929/127,767
  6. Step 6: Final answer
    x = 578,726.26

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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.