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Finding the Third Proportional to 26,206 and 56,563

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Solution

The third proportional to 26,206 and 56,563 is: 122,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206 : 56,563 = 56,563 : x
  2. Step 2: Convert to fraction form
    26,206/56,563 = 56,563/x
  3. Step 3: Cross multiply
    26,206x = 56,563 × 56,563
  4. Step 4: Simplify right side
    26,206x = 3,199,372,969
  5. Step 5: Solve for x
    x = 3,199,372,969/26,206
  6. Step 6: Final answer
    x = 122,085.51

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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.