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Finding the Third Proportional to 53,395.44 and 117,449.13

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Solution

The third proportional to 53,395.44 and 117,449.13 is: 258,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,395.44 : 117,449.13 = 117,449.13 : x
  2. Step 2: Convert to fraction form
    53,395.44/117,449.13 = 117,449.13/x
  3. Step 3: Cross multiply
    53,395.44x = 117,449.13 × 117,449.13
  4. Step 4: Simplify right side
    53,395.44x = 13,794,296,963.27
  5. Step 5: Solve for x
    x = 13,794,296,963.27/53,395.44
  6. Step 6: Final answer
    x = 258,342.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.