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Finding the Third Proportional to 60,270 and 131,112

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Solution

The third proportional to 60,270 and 131,112 is: 285,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,270 : 131,112 = 131,112 : x
  2. Step 2: Convert to fraction form
    60,270/131,112 = 131,112/x
  3. Step 3: Cross multiply
    60,270x = 131,112 × 131,112
  4. Step 4: Simplify right side
    60,270x = 17,190,356,544
  5. Step 5: Solve for x
    x = 17,190,356,544/60,270
  6. Step 6: Final answer
    x = 285,222.44

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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.