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Finding the Third Proportional to 81,462.94 and 113,805.56

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Solution

The third proportional to 81,462.94 and 113,805.56 is: 158,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,462.94 : 113,805.56 = 113,805.56 : x
  2. Step 2: Convert to fraction form
    81,462.94/113,805.56 = 113,805.56/x
  3. Step 3: Cross multiply
    81,462.94x = 113,805.56 × 113,805.56
  4. Step 4: Simplify right side
    81,462.94x = 12,951,706,055.94
  5. Step 5: Solve for x
    x = 12,951,706,055.94/81,462.94
  6. Step 6: Final answer
    x = 158,988.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.