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Finding the Third Proportional to 62,891 and 85,456

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Solution

The third proportional to 62,891 and 85,456 is: 116,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,891 : 85,456 = 85,456 : x
  2. Step 2: Convert to fraction form
    62,891/85,456 = 85,456/x
  3. Step 3: Cross multiply
    62,891x = 85,456 × 85,456
  4. Step 4: Simplify right side
    62,891x = 7,302,727,936
  5. Step 5: Solve for x
    x = 7,302,727,936/62,891
  6. Step 6: Final answer
    x = 116,117.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.