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Finding the Third Proportional to 125,655 and 273,901

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Solution

The third proportional to 125,655 and 273,901 is: 597,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,655 : 273,901 = 273,901 : x
  2. Step 2: Convert to fraction form
    125,655/273,901 = 273,901/x
  3. Step 3: Cross multiply
    125,655x = 273,901 × 273,901
  4. Step 4: Simplify right side
    125,655x = 75,021,757,801
  5. Step 5: Solve for x
    x = 75,021,757,801/125,655
  6. Step 6: Final answer
    x = 597,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.