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Finding the Third Proportional to 72,198 and 116,320.50

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Solution

The third proportional to 72,198 and 116,320.50 is: 187,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198 : 116,320.50 = 116,320.50 : x
  2. Step 2: Convert to fraction form
    72,198/116,320.50 = 116,320.50/x
  3. Step 3: Cross multiply
    72,198x = 116,320.50 × 116,320.50
  4. Step 4: Simplify right side
    72,198x = 13,530,458,720.25
  5. Step 5: Solve for x
    x = 13,530,458,720.25/72,198
  6. Step 6: Final answer
    x = 187,407.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.