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Finding the Third Proportional to 53,910.56 and 117,232.31

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Solution

The third proportional to 53,910.56 and 117,232.31 is: 254,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,910.56 : 117,232.31 = 117,232.31 : x
  2. Step 2: Convert to fraction form
    53,910.56/117,232.31 = 117,232.31/x
  3. Step 3: Cross multiply
    53,910.56x = 117,232.31 × 117,232.31
  4. Step 4: Simplify right side
    53,910.56x = 13,743,415,094.10
  5. Step 5: Solve for x
    x = 13,743,415,094.10/53,910.56
  6. Step 6: Final answer
    x = 254,929.91

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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.