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Finding the Third Proportional to 53,986.50 and 117,799.31

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Solution

The third proportional to 53,986.50 and 117,799.31 is: 257,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,986.50 : 117,799.31 = 117,799.31 : x
  2. Step 2: Convert to fraction form
    53,986.50/117,799.31 = 117,799.31/x
  3. Step 3: Cross multiply
    53,986.50x = 117,799.31 × 117,799.31
  4. Step 4: Simplify right side
    53,986.50x = 13,876,678,025.47
  5. Step 5: Solve for x
    x = 13,876,678,025.47/53,986.50
  6. Step 6: Final answer
    x = 257,039.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.