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Finding the Third Proportional to 42,136 and 89,456

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Solution

The third proportional to 42,136 and 89,456 is: 189,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136 : 89,456 = 89,456 : x
  2. Step 2: Convert to fraction form
    42,136/89,456 = 89,456/x
  3. Step 3: Cross multiply
    42,136x = 89,456 × 89,456
  4. Step 4: Simplify right side
    42,136x = 8,002,375,936
  5. Step 5: Solve for x
    x = 8,002,375,936/42,136
  6. Step 6: Final answer
    x = 189,917.79

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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.