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Finding the Third Proportional to 62,067 and 92,644.50

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Solution

The third proportional to 62,067 and 92,644.50 is: 138,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,067 : 92,644.50 = 92,644.50 : x
  2. Step 2: Convert to fraction form
    62,067/92,644.50 = 92,644.50/x
  3. Step 3: Cross multiply
    62,067x = 92,644.50 × 92,644.50
  4. Step 4: Simplify right side
    62,067x = 8,583,003,380.25
  5. Step 5: Solve for x
    x = 8,583,003,380.25/62,067
  6. Step 6: Final answer
    x = 138,286.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.