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Finding the Third Proportional to 53,796 and 113,991

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Solution

The third proportional to 53,796 and 113,991 is: 241,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,796 : 113,991 = 113,991 : x
  2. Step 2: Convert to fraction form
    53,796/113,991 = 113,991/x
  3. Step 3: Cross multiply
    53,796x = 113,991 × 113,991
  4. Step 4: Simplify right side
    53,796x = 12,993,948,081
  5. Step 5: Solve for x
    x = 12,993,948,081/53,796
  6. Step 6: Final answer
    x = 241,541.16

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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.