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Finding the Third Proportional to 26,167 and 56,524

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Solution

The third proportional to 26,167 and 56,524 is: 122,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,167 : 56,524 = 56,524 : x
  2. Step 2: Convert to fraction form
    26,167/56,524 = 56,524/x
  3. Step 3: Cross multiply
    26,167x = 56,524 × 56,524
  4. Step 4: Simplify right side
    26,167x = 3,194,962,576
  5. Step 5: Solve for x
    x = 3,194,962,576/26,167
  6. Step 6: Final answer
    x = 122,098.93

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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.