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Finding the Third Proportional to 50,572.75 and 110,361.50

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Solution

The third proportional to 50,572.75 and 110,361.50 is: 240,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,572.75 : 110,361.50 = 110,361.50 : x
  2. Step 2: Convert to fraction form
    50,572.75/110,361.50 = 110,361.50/x
  3. Step 3: Cross multiply
    50,572.75x = 110,361.50 × 110,361.50
  4. Step 4: Simplify right side
    50,572.75x = 12,179,660,682.25
  5. Step 5: Solve for x
    x = 12,179,660,682.25/50,572.75
  6. Step 6: Final answer
    x = 240,834.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.