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Finding the Third Proportional to 91,112 and 186,760

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Solution

The third proportional to 91,112 and 186,760 is: 382,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,112 : 186,760 = 186,760 : x
  2. Step 2: Convert to fraction form
    91,112/186,760 = 186,760/x
  3. Step 3: Cross multiply
    91,112x = 186,760 × 186,760
  4. Step 4: Simplify right side
    91,112x = 34,879,297,600
  5. Step 5: Solve for x
    x = 34,879,297,600/91,112
  6. Step 6: Final answer
    x = 382,817.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.