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Finding the Third Proportional to 57,729.50 and 91,993

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Solution

The third proportional to 57,729.50 and 91,993 is: 146,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.50 : 91,993 = 91,993 : x
  2. Step 2: Convert to fraction form
    57,729.50/91,993 = 91,993/x
  3. Step 3: Cross multiply
    57,729.50x = 91,993 × 91,993
  4. Step 4: Simplify right side
    57,729.50x = 8,462,712,049
  5. Step 5: Solve for x
    x = 8,462,712,049/57,729.50
  6. Step 6: Final answer
    x = 146,592.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.