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Finding the Third Proportional to 26,185 and 56,522

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Solution

The third proportional to 26,185 and 56,522 is: 122,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185 : 56,522 = 56,522 : x
  2. Step 2: Convert to fraction form
    26,185/56,522 = 56,522/x
  3. Step 3: Cross multiply
    26,185x = 56,522 × 56,522
  4. Step 4: Simplify right side
    26,185x = 3,194,736,484
  5. Step 5: Solve for x
    x = 3,194,736,484/26,185
  6. Step 6: Final answer
    x = 122,006.36

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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.