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Finding the Third Proportional to 74,099.25 and 114,909.75

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Solution

The third proportional to 74,099.25 and 114,909.75 is: 178,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.25 : 114,909.75 = 114,909.75 : x
  2. Step 2: Convert to fraction form
    74,099.25/114,909.75 = 114,909.75/x
  3. Step 3: Cross multiply
    74,099.25x = 114,909.75 × 114,909.75
  4. Step 4: Simplify right side
    74,099.25x = 13,204,250,645.06
  5. Step 5: Solve for x
    x = 13,204,250,645.06/74,099.25
  6. Step 6: Final answer
    x = 178,196.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.