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Finding the Third Proportional to 26,161 and 56,533

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Solution

The third proportional to 26,161 and 56,533 is: 122,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161 : 56,533 = 56,533 : x
  2. Step 2: Convert to fraction form
    26,161/56,533 = 56,533/x
  3. Step 3: Cross multiply
    26,161x = 56,533 × 56,533
  4. Step 4: Simplify right side
    26,161x = 3,195,980,089
  5. Step 5: Solve for x
    x = 3,195,980,089/26,161
  6. Step 6: Final answer
    x = 122,165.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.