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Finding the Third Proportional to 50,992.50 and 71,681.81

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Solution

The third proportional to 50,992.50 and 71,681.81 is: 100,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.50 : 71,681.81 = 71,681.81 : x
  2. Step 2: Convert to fraction form
    50,992.50/71,681.81 = 71,681.81/x
  3. Step 3: Cross multiply
    50,992.50x = 71,681.81 × 71,681.81
  4. Step 4: Simplify right side
    50,992.50x = 5,138,282,243.29
  5. Step 5: Solve for x
    x = 5,138,282,243.29/50,992.50
  6. Step 6: Final answer
    x = 100,765.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.