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Finding the Third Proportional to 99,769.75 and 135,704.50

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Solution

The third proportional to 99,769.75 and 135,704.50 is: 184,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,769.75 : 135,704.50 = 135,704.50 : x
  2. Step 2: Convert to fraction form
    99,769.75/135,704.50 = 135,704.50/x
  3. Step 3: Cross multiply
    99,769.75x = 135,704.50 × 135,704.50
  4. Step 4: Simplify right side
    99,769.75x = 18,415,711,320.25
  5. Step 5: Solve for x
    x = 18,415,711,320.25/99,769.75
  6. Step 6: Final answer
    x = 184,582.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.