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Finding the Third Proportional to 63,972 and 135,729

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Solution

The third proportional to 63,972 and 135,729 is: 287,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,972 : 135,729 = 135,729 : x
  2. Step 2: Convert to fraction form
    63,972/135,729 = 135,729/x
  3. Step 3: Cross multiply
    63,972x = 135,729 × 135,729
  4. Step 4: Simplify right side
    63,972x = 18,422,361,441
  5. Step 5: Solve for x
    x = 18,422,361,441/63,972
  6. Step 6: Final answer
    x = 287,975.39

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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.