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Finding the Third Proportional to 53,906 and 113,397

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Solution

The third proportional to 53,906 and 113,397 is: 238,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906 : 113,397 = 113,397 : x
  2. Step 2: Convert to fraction form
    53,906/113,397 = 113,397/x
  3. Step 3: Cross multiply
    53,906x = 113,397 × 113,397
  4. Step 4: Simplify right side
    53,906x = 12,858,879,609
  5. Step 5: Solve for x
    x = 12,858,879,609/53,906
  6. Step 6: Final answer
    x = 238,542.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.