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Finding the Third Proportional to 62,770 and 87,996

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Solution

The third proportional to 62,770 and 87,996 is: 123,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,770 : 87,996 = 87,996 : x
  2. Step 2: Convert to fraction form
    62,770/87,996 = 87,996/x
  3. Step 3: Cross multiply
    62,770x = 87,996 × 87,996
  4. Step 4: Simplify right side
    62,770x = 7,743,296,016
  5. Step 5: Solve for x
    x = 7,743,296,016/62,770
  6. Step 6: Final answer
    x = 123,359.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.