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Finding the Third Proportional to 53,950 and 119,689

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Solution

The third proportional to 53,950 and 119,689 is: 265,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 119,689 = 119,689 : x
  2. Step 2: Convert to fraction form
    53,950/119,689 = 119,689/x
  3. Step 3: Cross multiply
    53,950x = 119,689 × 119,689
  4. Step 4: Simplify right side
    53,950x = 14,325,456,721
  5. Step 5: Solve for x
    x = 14,325,456,721/53,950
  6. Step 6: Final answer
    x = 265,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.