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Finding the Third Proportional to 53,599.50 and 117,195.75

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Solution

The third proportional to 53,599.50 and 117,195.75 is: 256,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,599.50 : 117,195.75 = 117,195.75 : x
  2. Step 2: Convert to fraction form
    53,599.50/117,195.75 = 117,195.75/x
  3. Step 3: Cross multiply
    53,599.50x = 117,195.75 × 117,195.75
  4. Step 4: Simplify right side
    53,599.50x = 13,734,843,818.06
  5. Step 5: Solve for x
    x = 13,734,843,818.06/53,599.50
  6. Step 6: Final answer
    x = 256,249.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.