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Finding the Third Proportional to 43,224 and 92,441

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Solution

The third proportional to 43,224 and 92,441 is: 197,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,224 : 92,441 = 92,441 : x
  2. Step 2: Convert to fraction form
    43,224/92,441 = 92,441/x
  3. Step 3: Cross multiply
    43,224x = 92,441 × 92,441
  4. Step 4: Simplify right side
    43,224x = 8,545,338,481
  5. Step 5: Solve for x
    x = 8,545,338,481/43,224
  6. Step 6: Final answer
    x = 197,698.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.