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Finding the Third Proportional to 57,683 and 127,891

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Solution

The third proportional to 57,683 and 127,891 is: 283,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683 : 127,891 = 127,891 : x
  2. Step 2: Convert to fraction form
    57,683/127,891 = 127,891/x
  3. Step 3: Cross multiply
    57,683x = 127,891 × 127,891
  4. Step 4: Simplify right side
    57,683x = 16,356,107,881
  5. Step 5: Solve for x
    x = 16,356,107,881/57,683
  6. Step 6: Final answer
    x = 283,551.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.