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Finding the Third Proportional to 124,474 and 273,136

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Solution

The third proportional to 124,474 and 273,136 is: 599,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,474 : 273,136 = 273,136 : x
  2. Step 2: Convert to fraction form
    124,474/273,136 = 273,136/x
  3. Step 3: Cross multiply
    124,474x = 273,136 × 273,136
  4. Step 4: Simplify right side
    124,474x = 74,603,274,496
  5. Step 5: Solve for x
    x = 74,603,274,496/124,474
  6. Step 6: Final answer
    x = 599,348.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.