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Finding the Third Proportional to 124,939 and 273,179

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Solution

The third proportional to 124,939 and 273,179 is: 597,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,939 : 273,179 = 273,179 : x
  2. Step 2: Convert to fraction form
    124,939/273,179 = 273,179/x
  3. Step 3: Cross multiply
    124,939x = 273,179 × 273,179
  4. Step 4: Simplify right side
    124,939x = 74,626,766,041
  5. Step 5: Solve for x
    x = 74,626,766,041/124,939
  6. Step 6: Final answer
    x = 597,305.61

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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.