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Finding the Third Proportional to 134,690 and 196,112

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Solution

The third proportional to 134,690 and 196,112 is: 285,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,690 : 196,112 = 196,112 : x
  2. Step 2: Convert to fraction form
    134,690/196,112 = 196,112/x
  3. Step 3: Cross multiply
    134,690x = 196,112 × 196,112
  4. Step 4: Simplify right side
    134,690x = 38,459,916,544
  5. Step 5: Solve for x
    x = 38,459,916,544/134,690
  6. Step 6: Final answer
    x = 285,543.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.