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Finding the Third Proportional to 25,162 and 54,308

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Solution

The third proportional to 25,162 and 54,308 is: 117,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162 : 54,308 = 54,308 : x
  2. Step 2: Convert to fraction form
    25,162/54,308 = 54,308/x
  3. Step 3: Cross multiply
    25,162x = 54,308 × 54,308
  4. Step 4: Simplify right side
    25,162x = 2,949,358,864
  5. Step 5: Solve for x
    x = 2,949,358,864/25,162
  6. Step 6: Final answer
    x = 117,214.80

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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.