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Finding the Third Proportional to 26,223 and 56,819

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Solution

The third proportional to 26,223 and 56,819 is: 123,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,223 : 56,819 = 56,819 : x
  2. Step 2: Convert to fraction form
    26,223/56,819 = 56,819/x
  3. Step 3: Cross multiply
    26,223x = 56,819 × 56,819
  4. Step 4: Simplify right side
    26,223x = 3,228,398,761
  5. Step 5: Solve for x
    x = 3,228,398,761/26,223
  6. Step 6: Final answer
    x = 123,113.25

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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.