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Finding the Third Proportional to 42,208 and 62,992

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Solution

The third proportional to 42,208 and 62,992 is: 94,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,208 : 62,992 = 62,992 : x
  2. Step 2: Convert to fraction form
    42,208/62,992 = 62,992/x
  3. Step 3: Cross multiply
    42,208x = 62,992 × 62,992
  4. Step 4: Simplify right side
    42,208x = 3,967,992,064
  5. Step 5: Solve for x
    x = 3,967,992,064/42,208
  6. Step 6: Final answer
    x = 94,010.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.