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Finding the Third Proportional to 125,885 and 273,100

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Solution

The third proportional to 125,885 and 273,100 is: 592,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,885 : 273,100 = 273,100 : x
  2. Step 2: Convert to fraction form
    125,885/273,100 = 273,100/x
  3. Step 3: Cross multiply
    125,885x = 273,100 × 273,100
  4. Step 4: Simplify right side
    125,885x = 74,583,610,000
  5. Step 5: Solve for x
    x = 74,583,610,000/125,885
  6. Step 6: Final answer
    x = 592,474.16

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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.