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Finding the Third Proportional to 53,162 and 115,672

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Solution

The third proportional to 53,162 and 115,672 is: 251,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,162 : 115,672 = 115,672 : x
  2. Step 2: Convert to fraction form
    53,162/115,672 = 115,672/x
  3. Step 3: Cross multiply
    53,162x = 115,672 × 115,672
  4. Step 4: Simplify right side
    53,162x = 13,380,011,584
  5. Step 5: Solve for x
    x = 13,380,011,584/53,162
  6. Step 6: Final answer
    x = 251,683.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.