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Finding the Third Proportional to 71,832 and 155,136

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Solution

The third proportional to 71,832 and 155,136 is: 335,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,832 : 155,136 = 155,136 : x
  2. Step 2: Convert to fraction form
    71,832/155,136 = 155,136/x
  3. Step 3: Cross multiply
    71,832x = 155,136 × 155,136
  4. Step 4: Simplify right side
    71,832x = 24,067,178,496
  5. Step 5: Solve for x
    x = 24,067,178,496/71,832
  6. Step 6: Final answer
    x = 335,048.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.