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Finding the Third Proportional to 50,992.31 and 71,681.63

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Solution

The third proportional to 50,992.31 and 71,681.63 is: 100,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.31 : 71,681.63 = 71,681.63 : x
  2. Step 2: Convert to fraction form
    50,992.31/71,681.63 = 71,681.63/x
  3. Step 3: Cross multiply
    50,992.31x = 71,681.63 × 71,681.63
  4. Step 4: Simplify right side
    50,992.31x = 5,138,255,362.64
  5. Step 5: Solve for x
    x = 5,138,255,362.64/50,992.31
  6. Step 6: Final answer
    x = 100,765.29

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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.