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Finding the Third Proportional to 53,912.25 and 114,739.88

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Solution

The third proportional to 53,912.25 and 114,739.88 is: 244,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,912.25 : 114,739.88 = 114,739.88 : x
  2. Step 2: Convert to fraction form
    53,912.25/114,739.88 = 114,739.88/x
  3. Step 3: Cross multiply
    53,912.25x = 114,739.88 × 114,739.88
  4. Step 4: Simplify right side
    53,912.25x = 13,165,238,915.02
  5. Step 5: Solve for x
    x = 13,165,238,915.02/53,912.25
  6. Step 6: Final answer
    x = 244,197.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.