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Finding the Third Proportional to 101,736 and 215,136

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Solution

The third proportional to 101,736 and 215,136 is: 454,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736 : 215,136 = 215,136 : x
  2. Step 2: Convert to fraction form
    101,736/215,136 = 215,136/x
  3. Step 3: Cross multiply
    101,736x = 215,136 × 215,136
  4. Step 4: Simplify right side
    101,736x = 46,283,498,496
  5. Step 5: Solve for x
    x = 46,283,498,496/101,736
  6. Step 6: Final answer
    x = 454,937.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.