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Finding the Third Proportional to 90,544 and 192,752

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Solution

The third proportional to 90,544 and 192,752 is: 410,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,544 : 192,752 = 192,752 : x
  2. Step 2: Convert to fraction form
    90,544/192,752 = 192,752/x
  3. Step 3: Cross multiply
    90,544x = 192,752 × 192,752
  4. Step 4: Simplify right side
    90,544x = 37,153,333,504
  5. Step 5: Solve for x
    x = 37,153,333,504/90,544
  6. Step 6: Final answer
    x = 410,334.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.