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Finding the Third Proportional to 51,908 and 74,227.75

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Solution

The third proportional to 51,908 and 74,227.75 is: 106,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908 : 74,227.75 = 74,227.75 : x
  2. Step 2: Convert to fraction form
    51,908/74,227.75 = 74,227.75/x
  3. Step 3: Cross multiply
    51,908x = 74,227.75 × 74,227.75
  4. Step 4: Simplify right side
    51,908x = 5,509,758,870.06
  5. Step 5: Solve for x
    x = 5,509,758,870.06/51,908
  6. Step 6: Final answer
    x = 106,144.70

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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.