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Finding the Third Proportional to 91,108 and 186,752

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Solution

The third proportional to 91,108 and 186,752 is: 382,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,108 : 186,752 = 186,752 : x
  2. Step 2: Convert to fraction form
    91,108/186,752 = 186,752/x
  3. Step 3: Cross multiply
    91,108x = 186,752 × 186,752
  4. Step 4: Simplify right side
    91,108x = 34,876,309,504
  5. Step 5: Solve for x
    x = 34,876,309,504/91,108
  6. Step 6: Final answer
    x = 382,801.83

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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.