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Finding the Third Proportional to 63,200 and 135,956

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Solution

The third proportional to 63,200 and 135,956 is: 292,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200 : 135,956 = 135,956 : x
  2. Step 2: Convert to fraction form
    63,200/135,956 = 135,956/x
  3. Step 3: Cross multiply
    63,200x = 135,956 × 135,956
  4. Step 4: Simplify right side
    63,200x = 18,484,033,936
  5. Step 5: Solve for x
    x = 18,484,033,936/63,200
  6. Step 6: Final answer
    x = 292,468.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.