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Finding the Third Proportional to 91,728.70 and 145,930.99

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Solution

The third proportional to 91,728.70 and 145,930.99 is: 232,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728.70 : 145,930.99 = 145,930.99 : x
  2. Step 2: Convert to fraction form
    91,728.70/145,930.99 = 145,930.99/x
  3. Step 3: Cross multiply
    91,728.70x = 145,930.99 × 145,930.99
  4. Step 4: Simplify right side
    91,728.70x = 21,295,854,480.83
  5. Step 5: Solve for x
    x = 21,295,854,480.83/91,728.70
  6. Step 6: Final answer
    x = 232,161.29

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