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Finding the Third Proportional to 26,178 and 54,564

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Solution

The third proportional to 26,178 and 54,564 is: 113,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178 : 54,564 = 54,564 : x
  2. Step 2: Convert to fraction form
    26,178/54,564 = 54,564/x
  3. Step 3: Cross multiply
    26,178x = 54,564 × 54,564
  4. Step 4: Simplify right side
    26,178x = 2,977,230,096
  5. Step 5: Solve for x
    x = 2,977,230,096/26,178
  6. Step 6: Final answer
    x = 113,730.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.