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Finding the Third Proportional to 103,381.31 and 120,786.19

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Solution

The third proportional to 103,381.31 and 120,786.19 is: 141,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381.31 : 120,786.19 = 120,786.19 : x
  2. Step 2: Convert to fraction form
    103,381.31/120,786.19 = 120,786.19/x
  3. Step 3: Cross multiply
    103,381.31x = 120,786.19 × 120,786.19
  4. Step 4: Simplify right side
    103,381.31x = 14,589,303,090.79
  5. Step 5: Solve for x
    x = 14,589,303,090.79/103,381.31
  6. Step 6: Final answer
    x = 141,121.28

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.