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Finding the Third Proportional to 50,444 and 119,460

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Solution

The third proportional to 50,444 and 119,460 is: 282,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,444 : 119,460 = 119,460 : x
  2. Step 2: Convert to fraction form
    50,444/119,460 = 119,460/x
  3. Step 3: Cross multiply
    50,444x = 119,460 × 119,460
  4. Step 4: Simplify right side
    50,444x = 14,270,691,600
  5. Step 5: Solve for x
    x = 14,270,691,600/50,444
  6. Step 6: Final answer
    x = 282,901.67

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.