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Finding the Third Proportional to 52,747.49 and 115,499.87

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Solution

The third proportional to 52,747.49 and 115,499.87 is: 252,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,747.49 : 115,499.87 = 115,499.87 : x
  2. Step 2: Convert to fraction form
    52,747.49/115,499.87 = 115,499.87/x
  3. Step 3: Cross multiply
    52,747.49x = 115,499.87 × 115,499.87
  4. Step 4: Simplify right side
    52,747.49x = 13,340,219,884.30
  5. Step 5: Solve for x
    x = 13,340,219,884.30/52,747.49
  6. Step 6: Final answer
    x = 252,907.18

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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.