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Finding the Third Proportional to 114,157.50 and 179,073

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Solution

The third proportional to 114,157.50 and 179,073 is: 280,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,157.50 : 179,073 = 179,073 : x
  2. Step 2: Convert to fraction form
    114,157.50/179,073 = 179,073/x
  3. Step 3: Cross multiply
    114,157.50x = 179,073 × 179,073
  4. Step 4: Simplify right side
    114,157.50x = 32,067,139,329
  5. Step 5: Solve for x
    x = 32,067,139,329/114,157.50
  6. Step 6: Final answer
    x = 280,902.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.