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Finding the Third Proportional to 125,932.50 and 174,540.38

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Solution

The third proportional to 125,932.50 and 174,540.38 is: 241,910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,932.50 : 174,540.38 = 174,540.38 : x
  2. Step 2: Convert to fraction form
    125,932.50/174,540.38 = 174,540.38/x
  3. Step 3: Cross multiply
    125,932.50x = 174,540.38 × 174,540.38
  4. Step 4: Simplify right side
    125,932.50x = 30,464,342,505.14
  5. Step 5: Solve for x
    x = 30,464,342,505.14/125,932.50
  6. Step 6: Final answer
    x = 241,910.09

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.