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Finding the Third Proportional to 26,163 and 56,753

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Solution

The third proportional to 26,163 and 56,753 is: 123,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,163 : 56,753 = 56,753 : x
  2. Step 2: Convert to fraction form
    26,163/56,753 = 56,753/x
  3. Step 3: Cross multiply
    26,163x = 56,753 × 56,753
  4. Step 4: Simplify right side
    26,163x = 3,220,903,009
  5. Step 5: Solve for x
    x = 3,220,903,009/26,163
  6. Step 6: Final answer
    x = 123,109.09

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Why These Related Problems?

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