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Finding the Third Proportional to 41,590 and 91,232

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Solution

The third proportional to 41,590 and 91,232 is: 200,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590 : 91,232 = 91,232 : x
  2. Step 2: Convert to fraction form
    41,590/91,232 = 91,232/x
  3. Step 3: Cross multiply
    41,590x = 91,232 × 91,232
  4. Step 4: Simplify right side
    41,590x = 8,323,277,824
  5. Step 5: Solve for x
    x = 8,323,277,824/41,590
  6. Step 6: Final answer
    x = 200,126.90

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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.