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Finding the Third Proportional to 125,794 and 190,314

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Solution

The third proportional to 125,794 and 190,314 is: 287,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,794 : 190,314 = 190,314 : x
  2. Step 2: Convert to fraction form
    125,794/190,314 = 190,314/x
  3. Step 3: Cross multiply
    125,794x = 190,314 × 190,314
  4. Step 4: Simplify right side
    125,794x = 36,219,418,596
  5. Step 5: Solve for x
    x = 36,219,418,596/125,794
  6. Step 6: Final answer
    x = 287,926.44

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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.