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Finding the Third Proportional to 77,888 and 122,022

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Solution

The third proportional to 77,888 and 122,022 is: 191,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888 : 122,022 = 122,022 : x
  2. Step 2: Convert to fraction form
    77,888/122,022 = 122,022/x
  3. Step 3: Cross multiply
    77,888x = 122,022 × 122,022
  4. Step 4: Simplify right side
    77,888x = 14,889,368,484
  5. Step 5: Solve for x
    x = 14,889,368,484/77,888
  6. Step 6: Final answer
    x = 191,163.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.