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Finding the Third Proportional to 123,322.50 and 167,123.25

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Solution

The third proportional to 123,322.50 and 167,123.25 is: 226,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,322.50 : 167,123.25 = 167,123.25 : x
  2. Step 2: Convert to fraction form
    123,322.50/167,123.25 = 167,123.25/x
  3. Step 3: Cross multiply
    123,322.50x = 167,123.25 × 167,123.25
  4. Step 4: Simplify right side
    123,322.50x = 27,930,180,690.56
  5. Step 5: Solve for x
    x = 27,930,180,690.56/123,322.50
  6. Step 6: Final answer
    x = 226,480.82

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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.