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Finding the Third Proportional to 75,367 and 119,969

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Solution

The third proportional to 75,367 and 119,969 is: 190,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,367 : 119,969 = 119,969 : x
  2. Step 2: Convert to fraction form
    75,367/119,969 = 119,969/x
  3. Step 3: Cross multiply
    75,367x = 119,969 × 119,969
  4. Step 4: Simplify right side
    75,367x = 14,392,560,961
  5. Step 5: Solve for x
    x = 14,392,560,961/75,367
  6. Step 6: Final answer
    x = 190,966.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.