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Finding the Third Proportional to 75,370 and 119,974

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Solution

The third proportional to 75,370 and 119,974 is: 190,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,370 : 119,974 = 119,974 : x
  2. Step 2: Convert to fraction form
    75,370/119,974 = 119,974/x
  3. Step 3: Cross multiply
    75,370x = 119,974 × 119,974
  4. Step 4: Simplify right side
    75,370x = 14,393,760,676
  5. Step 5: Solve for x
    x = 14,393,760,676/75,370
  6. Step 6: Final answer
    x = 190,974.67

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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.