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Finding the Third Proportional to 62,866 and 127,554

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Solution

The third proportional to 62,866 and 127,554 is: 258,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,866 : 127,554 = 127,554 : x
  2. Step 2: Convert to fraction form
    62,866/127,554 = 127,554/x
  3. Step 3: Cross multiply
    62,866x = 127,554 × 127,554
  4. Step 4: Simplify right side
    62,866x = 16,270,022,916
  5. Step 5: Solve for x
    x = 16,270,022,916/62,866
  6. Step 6: Final answer
    x = 258,804.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.