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Finding the Third Proportional to 26,123 and 56,908

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Solution

The third proportional to 26,123 and 56,908 is: 123,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,123 : 56,908 = 56,908 : x
  2. Step 2: Convert to fraction form
    26,123/56,908 = 56,908/x
  3. Step 3: Cross multiply
    26,123x = 56,908 × 56,908
  4. Step 4: Simplify right side
    26,123x = 3,238,520,464
  5. Step 5: Solve for x
    x = 3,238,520,464/26,123
  6. Step 6: Final answer
    x = 123,972.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.