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Finding the Third Proportional to 53,720 and 113,843

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Solution

The third proportional to 53,720 and 113,843 is: 241,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,720 : 113,843 = 113,843 : x
  2. Step 2: Convert to fraction form
    53,720/113,843 = 113,843/x
  3. Step 3: Cross multiply
    53,720x = 113,843 × 113,843
  4. Step 4: Simplify right side
    53,720x = 12,960,228,649
  5. Step 5: Solve for x
    x = 12,960,228,649/53,720
  6. Step 6: Final answer
    x = 241,255.19

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