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Finding the Third Proportional to 26,191 and 56,566

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Solution

The third proportional to 26,191 and 56,566 is: 122,168.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,191 : 56,566 = 56,566 : x
  2. Step 2: Convert to fraction form
    26,191/56,566 = 56,566/x
  3. Step 3: Cross multiply
    26,191x = 56,566 × 56,566
  4. Step 4: Simplify right side
    26,191x = 3,199,712,356
  5. Step 5: Solve for x
    x = 3,199,712,356/26,191
  6. Step 6: Final answer
    x = 122,168.39

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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.