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Finding the Third Proportional to 51,669.84 and 73,132.73

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Solution

The third proportional to 51,669.84 and 73,132.73 is: 103,510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,669.84 : 73,132.73 = 73,132.73 : x
  2. Step 2: Convert to fraction form
    51,669.84/73,132.73 = 73,132.73/x
  3. Step 3: Cross multiply
    51,669.84x = 73,132.73 × 73,132.73
  4. Step 4: Simplify right side
    51,669.84x = 5,348,396,837.16
  5. Step 5: Solve for x
    x = 5,348,396,837.16/51,669.84
  6. Step 6: Final answer
    x = 103,510.99

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.