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Finding the Third Proportional to 125,624 and 188,702

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Solution

The third proportional to 125,624 and 188,702 is: 283,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,624 : 188,702 = 188,702 : x
  2. Step 2: Convert to fraction form
    125,624/188,702 = 188,702/x
  3. Step 3: Cross multiply
    125,624x = 188,702 × 188,702
  4. Step 4: Simplify right side
    125,624x = 35,608,444,804
  5. Step 5: Solve for x
    x = 35,608,444,804/125,624
  6. Step 6: Final answer
    x = 283,452.56

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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.