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Finding the Third Proportional to 105,676 and 226,136

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Solution

The third proportional to 105,676 and 226,136 is: 483,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676 : 226,136 = 226,136 : x
  2. Step 2: Convert to fraction form
    105,676/226,136 = 226,136/x
  3. Step 3: Cross multiply
    105,676x = 226,136 × 226,136
  4. Step 4: Simplify right side
    105,676x = 51,137,490,496
  5. Step 5: Solve for x
    x = 51,137,490,496/105,676
  6. Step 6: Final answer
    x = 483,908.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.