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Finding the Third Proportional to 77,923 and 111,046

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Solution

The third proportional to 77,923 and 111,046 is: 158,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,923 : 111,046 = 111,046 : x
  2. Step 2: Convert to fraction form
    77,923/111,046 = 111,046/x
  3. Step 3: Cross multiply
    77,923x = 111,046 × 111,046
  4. Step 4: Simplify right side
    77,923x = 12,331,214,116
  5. Step 5: Solve for x
    x = 12,331,214,116/77,923
  6. Step 6: Final answer
    x = 158,248.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.