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Finding the Third Proportional to 90,387 and 187,942.50

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Solution

The third proportional to 90,387 and 187,942.50 is: 390,790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,387 : 187,942.50 = 187,942.50 : x
  2. Step 2: Convert to fraction form
    90,387/187,942.50 = 187,942.50/x
  3. Step 3: Cross multiply
    90,387x = 187,942.50 × 187,942.50
  4. Step 4: Simplify right side
    90,387x = 35,322,383,306.25
  5. Step 5: Solve for x
    x = 35,322,383,306.25/90,387
  6. Step 6: Final answer
    x = 390,790.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.