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Finding the Third Proportional to 118,732.50 and 167,205.38

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Solution

The third proportional to 118,732.50 and 167,205.38 is: 235,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,732.50 : 167,205.38 = 167,205.38 : x
  2. Step 2: Convert to fraction form
    118,732.50/167,205.38 = 167,205.38/x
  3. Step 3: Cross multiply
    118,732.50x = 167,205.38 × 167,205.38
  4. Step 4: Simplify right side
    118,732.50x = 27,957,637,428.89
  5. Step 5: Solve for x
    x = 27,957,637,428.89/118,732.50
  6. Step 6: Final answer
    x = 235,467.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.