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Finding the Third Proportional to 49,221 and 107,136

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Solution

The third proportional to 49,221 and 107,136 is: 233,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 107,136 = 107,136 : x
  2. Step 2: Convert to fraction form
    49,221/107,136 = 107,136/x
  3. Step 3: Cross multiply
    49,221x = 107,136 × 107,136
  4. Step 4: Simplify right side
    49,221x = 11,478,122,496
  5. Step 5: Solve for x
    x = 11,478,122,496/49,221
  6. Step 6: Final answer
    x = 233,195.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.