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Finding the Third Proportional to 125,947 and 188,842

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Solution

The third proportional to 125,947 and 188,842 is: 283,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,947 : 188,842 = 188,842 : x
  2. Step 2: Convert to fraction form
    125,947/188,842 = 188,842/x
  3. Step 3: Cross multiply
    125,947x = 188,842 × 188,842
  4. Step 4: Simplify right side
    125,947x = 35,661,300,964
  5. Step 5: Solve for x
    x = 35,661,300,964/125,947
  6. Step 6: Final answer
    x = 283,145.30

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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.