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Finding the Third Proportional to 91,733.50 and 187,355

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Solution

The third proportional to 91,733.50 and 187,355 is: 382,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,733.50 : 187,355 = 187,355 : x
  2. Step 2: Convert to fraction form
    91,733.50/187,355 = 187,355/x
  3. Step 3: Cross multiply
    91,733.50x = 187,355 × 187,355
  4. Step 4: Simplify right side
    91,733.50x = 35,101,896,025
  5. Step 5: Solve for x
    x = 35,101,896,025/91,733.50
  6. Step 6: Final answer
    x = 382,650.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.