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Finding the Third Proportional to 63,976 and 135,333

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Solution

The third proportional to 63,976 and 135,333 is: 286,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976 : 135,333 = 135,333 : x
  2. Step 2: Convert to fraction form
    63,976/135,333 = 135,333/x
  3. Step 3: Cross multiply
    63,976x = 135,333 × 135,333
  4. Step 4: Simplify right side
    63,976x = 18,315,020,889
  5. Step 5: Solve for x
    x = 18,315,020,889/63,976
  6. Step 6: Final answer
    x = 286,279.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.