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Finding the Third Proportional to 53,522.44 and 115,266.38

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Solution

The third proportional to 53,522.44 and 115,266.38 is: 248,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,522.44 : 115,266.38 = 115,266.38 : x
  2. Step 2: Convert to fraction form
    53,522.44/115,266.38 = 115,266.38/x
  3. Step 3: Cross multiply
    53,522.44x = 115,266.38 × 115,266.38
  4. Step 4: Simplify right side
    53,522.44x = 13,286,337,205.64
  5. Step 5: Solve for x
    x = 13,286,337,205.64/53,522.44
  6. Step 6: Final answer
    x = 248,238.64

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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.