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Finding the Third Proportional to 78,716.81 and 105,834.09

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Solution

The third proportional to 78,716.81 and 105,834.09 is: 142,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716.81 : 105,834.09 = 105,834.09 : x
  2. Step 2: Convert to fraction form
    78,716.81/105,834.09 = 105,834.09/x
  3. Step 3: Cross multiply
    78,716.81x = 105,834.09 × 105,834.09
  4. Step 4: Simplify right side
    78,716.81x = 11,200,855,399.88
  5. Step 5: Solve for x
    x = 11,200,855,399.88/78,716.81
  6. Step 6: Final answer
    x = 142,293.05

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.