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Finding the Third Proportional to 26,176 and 56,542

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Solution

The third proportional to 26,176 and 56,542 is: 122,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176 : 56,542 = 56,542 : x
  2. Step 2: Convert to fraction form
    26,176/56,542 = 56,542/x
  3. Step 3: Cross multiply
    26,176x = 56,542 × 56,542
  4. Step 4: Simplify right side
    26,176x = 3,196,997,764
  5. Step 5: Solve for x
    x = 3,196,997,764/26,176
  6. Step 6: Final answer
    x = 122,134.69

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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.