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Finding the Third Proportional to 125,606 and 188,411

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Solution

The third proportional to 125,606 and 188,411 is: 282,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,606 : 188,411 = 188,411 : x
  2. Step 2: Convert to fraction form
    125,606/188,411 = 188,411/x
  3. Step 3: Cross multiply
    125,606x = 188,411 × 188,411
  4. Step 4: Simplify right side
    125,606x = 35,498,704,921
  5. Step 5: Solve for x
    x = 35,498,704,921/125,606
  6. Step 6: Final answer
    x = 282,619.50

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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.