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Finding the Third Proportional to 129,067 and 189,367.50

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Solution

The third proportional to 129,067 and 189,367.50 is: 277,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067 : 189,367.50 = 189,367.50 : x
  2. Step 2: Convert to fraction form
    129,067/189,367.50 = 189,367.50/x
  3. Step 3: Cross multiply
    129,067x = 189,367.50 × 189,367.50
  4. Step 4: Simplify right side
    129,067x = 35,860,050,056.25
  5. Step 5: Solve for x
    x = 35,860,050,056.25/129,067
  6. Step 6: Final answer
    x = 277,840.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.