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Finding the Third Proportional to 111,773.50 and 169,105

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Solution

The third proportional to 111,773.50 and 169,105 is: 255,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,773.50 : 169,105 = 169,105 : x
  2. Step 2: Convert to fraction form
    111,773.50/169,105 = 169,105/x
  3. Step 3: Cross multiply
    111,773.50x = 169,105 × 169,105
  4. Step 4: Simplify right side
    111,773.50x = 28,596,501,025
  5. Step 5: Solve for x
    x = 28,596,501,025/111,773.50
  6. Step 6: Final answer
    x = 255,843.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.