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Finding the Third Proportional to 53,546 and 113,120

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Solution

The third proportional to 53,546 and 113,120 is: 238,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546 : 113,120 = 113,120 : x
  2. Step 2: Convert to fraction form
    53,546/113,120 = 113,120/x
  3. Step 3: Cross multiply
    53,546x = 113,120 × 113,120
  4. Step 4: Simplify right side
    53,546x = 12,796,134,400
  5. Step 5: Solve for x
    x = 12,796,134,400/53,546
  6. Step 6: Final answer
    x = 238,974.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.