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Finding the Third Proportional to 53,372 and 114,991

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Solution

The third proportional to 53,372 and 114,991 is: 247,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,372 : 114,991 = 114,991 : x
  2. Step 2: Convert to fraction form
    53,372/114,991 = 114,991/x
  3. Step 3: Cross multiply
    53,372x = 114,991 × 114,991
  4. Step 4: Simplify right side
    53,372x = 13,222,930,081
  5. Step 5: Solve for x
    x = 13,222,930,081/53,372
  6. Step 6: Final answer
    x = 247,750.32

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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.