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Finding the Third Proportional to 113,022 and 169,182

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Solution

The third proportional to 113,022 and 169,182 is: 253,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,022 : 169,182 = 169,182 : x
  2. Step 2: Convert to fraction form
    113,022/169,182 = 169,182/x
  3. Step 3: Cross multiply
    113,022x = 169,182 × 169,182
  4. Step 4: Simplify right side
    113,022x = 28,622,549,124
  5. Step 5: Solve for x
    x = 28,622,549,124/113,022
  6. Step 6: Final answer
    x = 253,247.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.