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Finding the Third Proportional to 125,831 and 190,367

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Solution

The third proportional to 125,831 and 190,367 is: 288,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,831 : 190,367 = 190,367 : x
  2. Step 2: Convert to fraction form
    125,831/190,367 = 190,367/x
  3. Step 3: Cross multiply
    125,831x = 190,367 × 190,367
  4. Step 4: Simplify right side
    125,831x = 36,239,594,689
  5. Step 5: Solve for x
    x = 36,239,594,689/125,831
  6. Step 6: Final answer
    x = 288,002.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.