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Finding the Third Proportional to 84,099 and 126,499.50

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Solution

The third proportional to 84,099 and 126,499.50 is: 190,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,099 : 126,499.50 = 126,499.50 : x
  2. Step 2: Convert to fraction form
    84,099/126,499.50 = 126,499.50/x
  3. Step 3: Cross multiply
    84,099x = 126,499.50 × 126,499.50
  4. Step 4: Simplify right side
    84,099x = 16,002,123,500.25
  5. Step 5: Solve for x
    x = 16,002,123,500.25/84,099
  6. Step 6: Final answer
    x = 190,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.