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Finding the Third Proportional to 103,231.13 and 145,374.75

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Solution

The third proportional to 103,231.13 and 145,374.75 is: 204,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,231.13 : 145,374.75 = 145,374.75 : x
  2. Step 2: Convert to fraction form
    103,231.13/145,374.75 = 145,374.75/x
  3. Step 3: Cross multiply
    103,231.13x = 145,374.75 × 145,374.75
  4. Step 4: Simplify right side
    103,231.13x = 21,133,817,937.56
  5. Step 5: Solve for x
    x = 21,133,817,937.56/103,231.13
  6. Step 6: Final answer
    x = 204,723.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.