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Finding the Third Proportional to 125,591 and 188,409

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Solution

The third proportional to 125,591 and 188,409 is: 282,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,591 : 188,409 = 188,409 : x
  2. Step 2: Convert to fraction form
    125,591/188,409 = 188,409/x
  3. Step 3: Cross multiply
    125,591x = 188,409 × 188,409
  4. Step 4: Simplify right side
    125,591x = 35,497,951,281
  5. Step 5: Solve for x
    x = 35,497,951,281/125,591
  6. Step 6: Final answer
    x = 282,647.25

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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.