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Finding the Third Proportional to 62,816 and 88,036

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Solution

The third proportional to 62,816 and 88,036 is: 123,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,816 : 88,036 = 88,036 : x
  2. Step 2: Convert to fraction form
    62,816/88,036 = 88,036/x
  3. Step 3: Cross multiply
    62,816x = 88,036 × 88,036
  4. Step 4: Simplify right side
    62,816x = 7,750,337,296
  5. Step 5: Solve for x
    x = 7,750,337,296/62,816
  6. Step 6: Final answer
    x = 123,381.58

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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.