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Finding the Third Proportional to 53,338 and 113,236

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Solution

The third proportional to 53,338 and 113,236 is: 240,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338 : 113,236 = 113,236 : x
  2. Step 2: Convert to fraction form
    53,338/113,236 = 113,236/x
  3. Step 3: Cross multiply
    53,338x = 113,236 × 113,236
  4. Step 4: Simplify right side
    53,338x = 12,822,391,696
  5. Step 5: Solve for x
    x = 12,822,391,696/53,338
  6. Step 6: Final answer
    x = 240,398.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.