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Finding the Third Proportional to 127,377 and 269,925

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Solution

The third proportional to 127,377 and 269,925 is: 571,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,377 : 269,925 = 269,925 : x
  2. Step 2: Convert to fraction form
    127,377/269,925 = 269,925/x
  3. Step 3: Cross multiply
    127,377x = 269,925 × 269,925
  4. Step 4: Simplify right side
    127,377x = 72,859,505,625
  5. Step 5: Solve for x
    x = 72,859,505,625/127,377
  6. Step 6: Final answer
    x = 571,998.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.