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Finding the Third Proportional to 91,641 and 194,136

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Solution

The third proportional to 91,641 and 194,136 is: 411,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,641 : 194,136 = 194,136 : x
  2. Step 2: Convert to fraction form
    91,641/194,136 = 194,136/x
  3. Step 3: Cross multiply
    91,641x = 194,136 × 194,136
  4. Step 4: Simplify right side
    91,641x = 37,688,786,496
  5. Step 5: Solve for x
    x = 37,688,786,496/91,641
  6. Step 6: Final answer
    x = 411,265.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.