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Finding the Third Proportional to 50,739 and 110,224.50

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Solution

The third proportional to 50,739 and 110,224.50 is: 239,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,739 : 110,224.50 = 110,224.50 : x
  2. Step 2: Convert to fraction form
    50,739/110,224.50 = 110,224.50/x
  3. Step 3: Cross multiply
    50,739x = 110,224.50 × 110,224.50
  4. Step 4: Simplify right side
    50,739x = 12,149,440,400.25
  5. Step 5: Solve for x
    x = 12,149,440,400.25/50,739
  6. Step 6: Final answer
    x = 239,449.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.