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Finding the Third Proportional to 52,662.66 and 114,073.31

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Solution

The third proportional to 52,662.66 and 114,073.31 is: 247,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,662.66 : 114,073.31 = 114,073.31 : x
  2. Step 2: Convert to fraction form
    52,662.66/114,073.31 = 114,073.31/x
  3. Step 3: Cross multiply
    52,662.66x = 114,073.31 × 114,073.31
  4. Step 4: Simplify right side
    52,662.66x = 13,012,720,624.72
  5. Step 5: Solve for x
    x = 13,012,720,624.72/52,662.66
  6. Step 6: Final answer
    x = 247,095.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.