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Finding the Third Proportional to 74,484.50 and 152,249.50

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Solution

The third proportional to 74,484.50 and 152,249.50 is: 311,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484.50 : 152,249.50 = 152,249.50 : x
  2. Step 2: Convert to fraction form
    74,484.50/152,249.50 = 152,249.50/x
  3. Step 3: Cross multiply
    74,484.50x = 152,249.50 × 152,249.50
  4. Step 4: Simplify right side
    74,484.50x = 23,179,910,250.25
  5. Step 5: Solve for x
    x = 23,179,910,250.25/74,484.50
  6. Step 6: Final answer
    x = 311,204.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.