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Finding the Third Proportional to 65,991 and 99,550.50

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Solution

The third proportional to 65,991 and 99,550.50 is: 150,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,991 : 99,550.50 = 99,550.50 : x
  2. Step 2: Convert to fraction form
    65,991/99,550.50 = 99,550.50/x
  3. Step 3: Cross multiply
    65,991x = 99,550.50 × 99,550.50
  4. Step 4: Simplify right side
    65,991x = 9,910,302,050.25
  5. Step 5: Solve for x
    x = 9,910,302,050.25/65,991
  6. Step 6: Final answer
    x = 150,176.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.