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Finding the Third Proportional to 52,520.63 and 115,246.13

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Solution

The third proportional to 52,520.63 and 115,246.13 is: 252,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520.63 : 115,246.13 = 115,246.13 : x
  2. Step 2: Convert to fraction form
    52,520.63/115,246.13 = 115,246.13/x
  3. Step 3: Cross multiply
    52,520.63x = 115,246.13 × 115,246.13
  4. Step 4: Simplify right side
    52,520.63x = 13,281,669,327.52
  5. Step 5: Solve for x
    x = 13,281,669,327.52/52,520.63
  6. Step 6: Final answer
    x = 252,884.83

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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.