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Finding the Third Proportional to 74,400 and 116,112

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Solution

The third proportional to 74,400 and 116,112 is: 181,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,400 : 116,112 = 116,112 : x
  2. Step 2: Convert to fraction form
    74,400/116,112 = 116,112/x
  3. Step 3: Cross multiply
    74,400x = 116,112 × 116,112
  4. Step 4: Simplify right side
    74,400x = 13,481,996,544
  5. Step 5: Solve for x
    x = 13,481,996,544/74,400
  6. Step 6: Final answer
    x = 181,209.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.