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Finding the Third Proportional to 123,628.50 and 167,940

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Solution

The third proportional to 123,628.50 and 167,940 is: 228,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,628.50 : 167,940 = 167,940 : x
  2. Step 2: Convert to fraction form
    123,628.50/167,940 = 167,940/x
  3. Step 3: Cross multiply
    123,628.50x = 167,940 × 167,940
  4. Step 4: Simplify right side
    123,628.50x = 28,203,843,600
  5. Step 5: Solve for x
    x = 28,203,843,600/123,628.50
  6. Step 6: Final answer
    x = 228,133.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.