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Finding the Third Proportional to 50,992.59 and 71,681.91

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Solution

The third proportional to 50,992.59 and 71,681.91 is: 100,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.59 : 71,681.91 = 71,681.91 : x
  2. Step 2: Convert to fraction form
    50,992.59/71,681.91 = 71,681.91/x
  3. Step 3: Cross multiply
    50,992.59x = 71,681.91 × 71,681.91
  4. Step 4: Simplify right side
    50,992.59x = 5,138,295,683.63
  5. Step 5: Solve for x
    x = 5,138,295,683.63/50,992.59
  6. Step 6: Final answer
    x = 100,765.53

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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.