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Finding the Third Proportional to 62,786 and 87,995

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Solution

The third proportional to 62,786 and 87,995 is: 123,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,786 : 87,995 = 87,995 : x
  2. Step 2: Convert to fraction form
    62,786/87,995 = 87,995/x
  3. Step 3: Cross multiply
    62,786x = 87,995 × 87,995
  4. Step 4: Simplify right side
    62,786x = 7,743,120,025
  5. Step 5: Solve for x
    x = 7,743,120,025/62,786
  6. Step 6: Final answer
    x = 123,325.58

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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.