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Finding the Third Proportional to 50,112 and 75,010

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Solution

The third proportional to 50,112 and 75,010 is: 112,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,112 : 75,010 = 75,010 : x
  2. Step 2: Convert to fraction form
    50,112/75,010 = 75,010/x
  3. Step 3: Cross multiply
    50,112x = 75,010 × 75,010
  4. Step 4: Simplify right side
    50,112x = 5,626,500,100
  5. Step 5: Solve for x
    x = 5,626,500,100/50,112
  6. Step 6: Final answer
    x = 112,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.