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Finding the Third Proportional to 53,950 and 117,742

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Solution

The third proportional to 53,950 and 117,742 is: 256,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950 : 117,742 = 117,742 : x
  2. Step 2: Convert to fraction form
    53,950/117,742 = 117,742/x
  3. Step 3: Cross multiply
    53,950x = 117,742 × 117,742
  4. Step 4: Simplify right side
    53,950x = 13,863,178,564
  5. Step 5: Solve for x
    x = 13,863,178,564/53,950
  6. Step 6: Final answer
    x = 256,963.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.