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Finding the Third Proportional to 74,067 and 114,700.50

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Solution

The third proportional to 74,067 and 114,700.50 is: 177,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,067 : 114,700.50 = 114,700.50 : x
  2. Step 2: Convert to fraction form
    74,067/114,700.50 = 114,700.50/x
  3. Step 3: Cross multiply
    74,067x = 114,700.50 × 114,700.50
  4. Step 4: Simplify right side
    74,067x = 13,156,204,700.25
  5. Step 5: Solve for x
    x = 13,156,204,700.25/74,067
  6. Step 6: Final answer
    x = 177,625.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.