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Finding the Third Proportional to 62,871 and 83,936

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Solution

The third proportional to 62,871 and 83,936 is: 112,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,871 : 83,936 = 83,936 : x
  2. Step 2: Convert to fraction form
    62,871/83,936 = 83,936/x
  3. Step 3: Cross multiply
    62,871x = 83,936 × 83,936
  4. Step 4: Simplify right side
    62,871x = 7,045,252,096
  5. Step 5: Solve for x
    x = 7,045,252,096/62,871
  6. Step 6: Final answer
    x = 112,058.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.