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Finding the Third Proportional to 42,220 and 91,136

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Solution

The third proportional to 42,220 and 91,136 is: 196,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,220 : 91,136 = 91,136 : x
  2. Step 2: Convert to fraction form
    42,220/91,136 = 91,136/x
  3. Step 3: Cross multiply
    42,220x = 91,136 × 91,136
  4. Step 4: Simplify right side
    42,220x = 8,305,770,496
  5. Step 5: Solve for x
    x = 8,305,770,496/42,220
  6. Step 6: Final answer
    x = 196,725.97

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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.