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Finding the Third Proportional to 79,136 and 186,811

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Solution

The third proportional to 79,136 and 186,811 is: 440,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,136 : 186,811 = 186,811 : x
  2. Step 2: Convert to fraction form
    79,136/186,811 = 186,811/x
  3. Step 3: Cross multiply
    79,136x = 186,811 × 186,811
  4. Step 4: Simplify right side
    79,136x = 34,898,349,721
  5. Step 5: Solve for x
    x = 34,898,349,721/79,136
  6. Step 6: Final answer
    x = 440,992.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.