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Finding the Third Proportional to 53,208 and 113,328

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Solution

The third proportional to 53,208 and 113,328 is: 241,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,208 : 113,328 = 113,328 : x
  2. Step 2: Convert to fraction form
    53,208/113,328 = 113,328/x
  3. Step 3: Cross multiply
    53,208x = 113,328 × 113,328
  4. Step 4: Simplify right side
    53,208x = 12,843,235,584
  5. Step 5: Solve for x
    x = 12,843,235,584/53,208
  6. Step 6: Final answer
    x = 241,377.91

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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.