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Finding the Third Proportional to 41,362 and 90,548

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Solution

The third proportional to 41,362 and 90,548 is: 198,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,362 : 90,548 = 90,548 : x
  2. Step 2: Convert to fraction form
    41,362/90,548 = 90,548/x
  3. Step 3: Cross multiply
    41,362x = 90,548 × 90,548
  4. Step 4: Simplify right side
    41,362x = 8,198,940,304
  5. Step 5: Solve for x
    x = 8,198,940,304/41,362
  6. Step 6: Final answer
    x = 198,223.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.