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Finding the Third Proportional to 123,279 and 167,053.50

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Solution

The third proportional to 123,279 and 167,053.50 is: 226,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,279 : 167,053.50 = 167,053.50 : x
  2. Step 2: Convert to fraction form
    123,279/167,053.50 = 167,053.50/x
  3. Step 3: Cross multiply
    123,279x = 167,053.50 × 167,053.50
  4. Step 4: Simplify right side
    123,279x = 27,906,871,862.25
  5. Step 5: Solve for x
    x = 27,906,871,862.25/123,279
  6. Step 6: Final answer
    x = 226,371.66

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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.