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Finding the Third Proportional to 77,750 and 122,231

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Solution

The third proportional to 77,750 and 122,231 is: 192,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,750 : 122,231 = 122,231 : x
  2. Step 2: Convert to fraction form
    77,750/122,231 = 122,231/x
  3. Step 3: Cross multiply
    77,750x = 122,231 × 122,231
  4. Step 4: Simplify right side
    77,750x = 14,940,417,361
  5. Step 5: Solve for x
    x = 14,940,417,361/77,750
  6. Step 6: Final answer
    x = 192,159.71

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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.