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Finding the Third Proportional to 125,879 and 273,088

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Solution

The third proportional to 125,879 and 273,088 is: 592,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,879 : 273,088 = 273,088 : x
  2. Step 2: Convert to fraction form
    125,879/273,088 = 273,088/x
  3. Step 3: Cross multiply
    125,879x = 273,088 × 273,088
  4. Step 4: Simplify right side
    125,879x = 74,577,055,744
  5. Step 5: Solve for x
    x = 74,577,055,744/125,879
  6. Step 6: Final answer
    x = 592,450.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.