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Finding the Third Proportional to 53,212 and 113,336

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Solution

The third proportional to 53,212 and 113,336 is: 241,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,212 : 113,336 = 113,336 : x
  2. Step 2: Convert to fraction form
    53,212/113,336 = 113,336/x
  3. Step 3: Cross multiply
    53,212x = 113,336 × 113,336
  4. Step 4: Simplify right side
    53,212x = 12,845,048,896
  5. Step 5: Solve for x
    x = 12,845,048,896/53,212
  6. Step 6: Final answer
    x = 241,393.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.