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Finding the Third Proportional to 61,996.50 and 135,064.75

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Solution

The third proportional to 61,996.50 and 135,064.75 is: 294,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996.50 : 135,064.75 = 135,064.75 : x
  2. Step 2: Convert to fraction form
    61,996.50/135,064.75 = 135,064.75/x
  3. Step 3: Cross multiply
    61,996.50x = 135,064.75 × 135,064.75
  4. Step 4: Simplify right side
    61,996.50x = 18,242,486,692.56
  5. Step 5: Solve for x
    x = 18,242,486,692.56/61,996.50
  6. Step 6: Final answer
    x = 294,250.27

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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.