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Finding the Third Proportional to 25,023 and 54,195

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Solution

The third proportional to 25,023 and 54,195 is: 117,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,023 : 54,195 = 54,195 : x
  2. Step 2: Convert to fraction form
    25,023/54,195 = 54,195/x
  3. Step 3: Cross multiply
    25,023x = 54,195 × 54,195
  4. Step 4: Simplify right side
    25,023x = 2,937,098,025
  5. Step 5: Solve for x
    x = 2,937,098,025/25,023
  6. Step 6: Final answer
    x = 117,375.94

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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.