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Finding the Third Proportional to 41,816 and 90,172

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Solution

The third proportional to 41,816 and 90,172 is: 194,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,816 : 90,172 = 90,172 : x
  2. Step 2: Convert to fraction form
    41,816/90,172 = 90,172/x
  3. Step 3: Cross multiply
    41,816x = 90,172 × 90,172
  4. Step 4: Simplify right side
    41,816x = 8,130,989,584
  5. Step 5: Solve for x
    x = 8,130,989,584/41,816
  6. Step 6: Final answer
    x = 194,446.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.