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Finding the Third Proportional to 125,881 and 273,091

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Solution

The third proportional to 125,881 and 273,091 is: 592,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,881 : 273,091 = 273,091 : x
  2. Step 2: Convert to fraction form
    125,881/273,091 = 273,091/x
  3. Step 3: Cross multiply
    125,881x = 273,091 × 273,091
  4. Step 4: Simplify right side
    125,881x = 74,578,694,281
  5. Step 5: Solve for x
    x = 74,578,694,281/125,881
  6. Step 6: Final answer
    x = 592,453.94

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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.