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Finding the Third Proportional to 53,620 and 113,720

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Solution

The third proportional to 53,620 and 113,720 is: 241,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,620 : 113,720 = 113,720 : x
  2. Step 2: Convert to fraction form
    53,620/113,720 = 113,720/x
  3. Step 3: Cross multiply
    53,620x = 113,720 × 113,720
  4. Step 4: Simplify right side
    53,620x = 12,932,238,400
  5. Step 5: Solve for x
    x = 12,932,238,400/53,620
  6. Step 6: Final answer
    x = 241,183.11

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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.