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Finding the Third Proportional to 134,739 and 196,182

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Solution

The third proportional to 134,739 and 196,182 is: 285,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,739 : 196,182 = 196,182 : x
  2. Step 2: Convert to fraction form
    134,739/196,182 = 196,182/x
  3. Step 3: Cross multiply
    134,739x = 196,182 × 196,182
  4. Step 4: Simplify right side
    134,739x = 38,487,377,124
  5. Step 5: Solve for x
    x = 38,487,377,124/134,739
  6. Step 6: Final answer
    x = 285,643.93

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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.