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Finding the Third Proportional to 71,435.25 and 113,019.75

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Solution

The third proportional to 71,435.25 and 113,019.75 is: 178,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.25 : 113,019.75 = 113,019.75 : x
  2. Step 2: Convert to fraction form
    71,435.25/113,019.75 = 113,019.75/x
  3. Step 3: Cross multiply
    71,435.25x = 113,019.75 × 113,019.75
  4. Step 4: Simplify right side
    71,435.25x = 12,773,463,890.06
  5. Step 5: Solve for x
    x = 12,773,463,890.06/71,435.25
  6. Step 6: Final answer
    x = 178,811.78

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.