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Finding the Third Proportional to 41,816 and 101,136

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Solution

The third proportional to 41,816 and 101,136 is: 244,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,816 : 101,136 = 101,136 : x
  2. Step 2: Convert to fraction form
    41,816/101,136 = 101,136/x
  3. Step 3: Cross multiply
    41,816x = 101,136 × 101,136
  4. Step 4: Simplify right side
    41,816x = 10,228,490,496
  5. Step 5: Solve for x
    x = 10,228,490,496/41,816
  6. Step 6: Final answer
    x = 244,607.10

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.