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Finding the Third Proportional to 127,877 and 269,013

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Solution

The third proportional to 127,877 and 269,013 is: 565,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,877 : 269,013 = 269,013 : x
  2. Step 2: Convert to fraction form
    127,877/269,013 = 269,013/x
  3. Step 3: Cross multiply
    127,877x = 269,013 × 269,013
  4. Step 4: Simplify right side
    127,877x = 72,367,994,169
  5. Step 5: Solve for x
    x = 72,367,994,169/127,877
  6. Step 6: Final answer
    x = 565,918.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.