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Finding the Third Proportional to 123,417 and 167,251.50

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Solution

The third proportional to 123,417 and 167,251.50 is: 226,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,417 : 167,251.50 = 167,251.50 : x
  2. Step 2: Convert to fraction form
    123,417/167,251.50 = 167,251.50/x
  3. Step 3: Cross multiply
    123,417x = 167,251.50 × 167,251.50
  4. Step 4: Simplify right side
    123,417x = 27,973,064,252.25
  5. Step 5: Solve for x
    x = 27,973,064,252.25/123,417
  6. Step 6: Final answer
    x = 226,654.87

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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.