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Finding the Third Proportional to 53,474 and 116,186

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Solution

The third proportional to 53,474 and 116,186 is: 252,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474 : 116,186 = 116,186 : x
  2. Step 2: Convert to fraction form
    53,474/116,186 = 116,186/x
  3. Step 3: Cross multiply
    53,474x = 116,186 × 116,186
  4. Step 4: Simplify right side
    53,474x = 13,499,186,596
  5. Step 5: Solve for x
    x = 13,499,186,596/53,474
  6. Step 6: Final answer
    x = 252,443.93

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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.