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Finding the Third Proportional to 53,642.25 and 116,245.13

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Solution

The third proportional to 53,642.25 and 116,245.13 is: 251,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.25 : 116,245.13 = 116,245.13 : x
  2. Step 2: Convert to fraction form
    53,642.25/116,245.13 = 116,245.13/x
  3. Step 3: Cross multiply
    53,642.25x = 116,245.13 × 116,245.13
  4. Step 4: Simplify right side
    53,642.25x = 13,512,929,086.27
  5. Step 5: Solve for x
    x = 13,512,929,086.27/53,642.25
  6. Step 6: Final answer
    x = 251,908.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.