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Finding the Third Proportional to 119,754 and 189,837

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Solution

The third proportional to 119,754 and 189,837 is: 300,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,754 : 189,837 = 189,837 : x
  2. Step 2: Convert to fraction form
    119,754/189,837 = 189,837/x
  3. Step 3: Cross multiply
    119,754x = 189,837 × 189,837
  4. Step 4: Simplify right side
    119,754x = 36,038,086,569
  5. Step 5: Solve for x
    x = 36,038,086,569/119,754
  6. Step 6: Final answer
    x = 300,934.30

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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.