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Finding the Third Proportional to 57,771 and 124,136

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Solution

The third proportional to 57,771 and 124,136 is: 266,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 124,136 = 124,136 : x
  2. Step 2: Convert to fraction form
    57,771/124,136 = 124,136/x
  3. Step 3: Cross multiply
    57,771x = 124,136 × 124,136
  4. Step 4: Simplify right side
    57,771x = 15,409,746,496
  5. Step 5: Solve for x
    x = 15,409,746,496/57,771
  6. Step 6: Final answer
    x = 266,738.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.