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Finding the Third Proportional to 53,546 and 115,236

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Solution

The third proportional to 53,546 and 115,236 is: 247,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546 : 115,236 = 115,236 : x
  2. Step 2: Convert to fraction form
    53,546/115,236 = 115,236/x
  3. Step 3: Cross multiply
    53,546x = 115,236 × 115,236
  4. Step 4: Simplify right side
    53,546x = 13,279,335,696
  5. Step 5: Solve for x
    x = 13,279,335,696/53,546
  6. Step 6: Final answer
    x = 247,998.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.