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Finding the Third Proportional to 124,619 and 273,364

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Solution

The third proportional to 124,619 and 273,364 is: 599,650.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,619 : 273,364 = 273,364 : x
  2. Step 2: Convert to fraction form
    124,619/273,364 = 273,364/x
  3. Step 3: Cross multiply
    124,619x = 273,364 × 273,364
  4. Step 4: Simplify right side
    124,619x = 74,727,876,496
  5. Step 5: Solve for x
    x = 74,727,876,496/124,619
  6. Step 6: Final answer
    x = 599,650.75

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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.