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Finding the Third Proportional to 50,000.75 and 73,026.75

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Solution

The third proportional to 50,000.75 and 73,026.75 is: 106,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,000.75 : 73,026.75 = 73,026.75 : x
  2. Step 2: Convert to fraction form
    50,000.75/73,026.75 = 73,026.75/x
  3. Step 3: Cross multiply
    50,000.75x = 73,026.75 × 73,026.75
  4. Step 4: Simplify right side
    50,000.75x = 5,332,906,215.56
  5. Step 5: Solve for x
    x = 5,332,906,215.56/50,000.75
  6. Step 6: Final answer
    x = 106,656.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.