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Finding the Third Proportional to 57,222 and 123,972

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Solution

The third proportional to 57,222 and 123,972 is: 268,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222 : 123,972 = 123,972 : x
  2. Step 2: Convert to fraction form
    57,222/123,972 = 123,972/x
  3. Step 3: Cross multiply
    57,222x = 123,972 × 123,972
  4. Step 4: Simplify right side
    57,222x = 15,369,056,784
  5. Step 5: Solve for x
    x = 15,369,056,784/57,222
  6. Step 6: Final answer
    x = 268,586.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.