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Finding the Third Proportional to 125,286 and 191,899

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Solution

The third proportional to 125,286 and 191,899 is: 293,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,286 : 191,899 = 191,899 : x
  2. Step 2: Convert to fraction form
    125,286/191,899 = 191,899/x
  3. Step 3: Cross multiply
    125,286x = 191,899 × 191,899
  4. Step 4: Simplify right side
    125,286x = 36,825,226,201
  5. Step 5: Solve for x
    x = 36,825,226,201/125,286
  6. Step 6: Final answer
    x = 293,929.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.