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Finding the Third Proportional to 42,414 and 92,136

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Solution

The third proportional to 42,414 and 92,136 is: 200,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,414 : 92,136 = 92,136 : x
  2. Step 2: Convert to fraction form
    42,414/92,136 = 92,136/x
  3. Step 3: Cross multiply
    42,414x = 92,136 × 92,136
  4. Step 4: Simplify right side
    42,414x = 8,489,042,496
  5. Step 5: Solve for x
    x = 8,489,042,496/42,414
  6. Step 6: Final answer
    x = 200,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.