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Finding the Third Proportional to 75,912 and 114,112

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Solution

The third proportional to 75,912 and 114,112 is: 171,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912 : 114,112 = 114,112 : x
  2. Step 2: Convert to fraction form
    75,912/114,112 = 114,112/x
  3. Step 3: Cross multiply
    75,912x = 114,112 × 114,112
  4. Step 4: Simplify right side
    75,912x = 13,021,548,544
  5. Step 5: Solve for x
    x = 13,021,548,544/75,912
  6. Step 6: Final answer
    x = 171,534.78

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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.