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Finding the Third Proportional to 125,529 and 188,293

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Solution

The third proportional to 125,529 and 188,293 is: 282,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,529 : 188,293 = 188,293 : x
  2. Step 2: Convert to fraction form
    125,529/188,293 = 188,293/x
  3. Step 3: Cross multiply
    125,529x = 188,293 × 188,293
  4. Step 4: Simplify right side
    125,529x = 35,454,253,849
  5. Step 5: Solve for x
    x = 35,454,253,849/125,529
  6. Step 6: Final answer
    x = 282,438.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.