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Finding the Third Proportional to 41,822 and 90,210

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Solution

The third proportional to 41,822 and 90,210 is: 194,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,822 : 90,210 = 90,210 : x
  2. Step 2: Convert to fraction form
    41,822/90,210 = 90,210/x
  3. Step 3: Cross multiply
    41,822x = 90,210 × 90,210
  4. Step 4: Simplify right side
    41,822x = 8,137,844,100
  5. Step 5: Solve for x
    x = 8,137,844,100/41,822
  6. Step 6: Final answer
    x = 194,582.85

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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.