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Finding the Third Proportional to 50,191 and 66,913.13

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Solution

The third proportional to 50,191 and 66,913.13 is: 89,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,191 : 66,913.13 = 66,913.13 : x
  2. Step 2: Convert to fraction form
    50,191/66,913.13 = 66,913.13/x
  3. Step 3: Cross multiply
    50,191x = 66,913.13 × 66,913.13
  4. Step 4: Simplify right side
    50,191x = 4,477,366,297.27
  5. Step 5: Solve for x
    x = 4,477,366,297.27/50,191
  6. Step 6: Final answer
    x = 89,206.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.