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Finding the Third Proportional to 25,182 and 54,738

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Solution

The third proportional to 25,182 and 54,738 is: 118,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182 : 54,738 = 54,738 : x
  2. Step 2: Convert to fraction form
    25,182/54,738 = 54,738/x
  3. Step 3: Cross multiply
    25,182x = 54,738 × 54,738
  4. Step 4: Simplify right side
    25,182x = 2,996,248,644
  5. Step 5: Solve for x
    x = 2,996,248,644/25,182
  6. Step 6: Final answer
    x = 118,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.