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Finding the Third Proportional to 91,732.50 and 171,945

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Solution

The third proportional to 91,732.50 and 171,945 is: 322,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,732.50 : 171,945 = 171,945 : x
  2. Step 2: Convert to fraction form
    91,732.50/171,945 = 171,945/x
  3. Step 3: Cross multiply
    91,732.50x = 171,945 × 171,945
  4. Step 4: Simplify right side
    91,732.50x = 29,565,083,025
  5. Step 5: Solve for x
    x = 29,565,083,025/91,732.50
  6. Step 6: Final answer
    x = 322,296.71

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.