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Finding the Third Proportional to 125,651 and 273,893

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Solution

The third proportional to 125,651 and 273,893 is: 597,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,651 : 273,893 = 273,893 : x
  2. Step 2: Convert to fraction form
    125,651/273,893 = 273,893/x
  3. Step 3: Cross multiply
    125,651x = 273,893 × 273,893
  4. Step 4: Simplify right side
    125,651x = 75,017,375,449
  5. Step 5: Solve for x
    x = 75,017,375,449/125,651
  6. Step 6: Final answer
    x = 597,029.67

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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.