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Finding the Third Proportional to 51,136 and 122,008

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Solution

The third proportional to 51,136 and 122,008 is: 291,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136 : 122,008 = 122,008 : x
  2. Step 2: Convert to fraction form
    51,136/122,008 = 122,008/x
  3. Step 3: Cross multiply
    51,136x = 122,008 × 122,008
  4. Step 4: Simplify right side
    51,136x = 14,885,952,064
  5. Step 5: Solve for x
    x = 14,885,952,064/51,136
  6. Step 6: Final answer
    x = 291,105.13

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.