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Finding the Third Proportional to 27,174 and 57,298

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Solution

The third proportional to 27,174 and 57,298 is: 120,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174 : 57,298 = 57,298 : x
  2. Step 2: Convert to fraction form
    27,174/57,298 = 57,298/x
  3. Step 3: Cross multiply
    27,174x = 57,298 × 57,298
  4. Step 4: Simplify right side
    27,174x = 3,283,060,804
  5. Step 5: Solve for x
    x = 3,283,060,804/27,174
  6. Step 6: Final answer
    x = 120,816.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.