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Finding the Third Proportional to 130,954 and 196,213

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Solution

The third proportional to 130,954 and 196,213 is: 293,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,954 : 196,213 = 196,213 : x
  2. Step 2: Convert to fraction form
    130,954/196,213 = 196,213/x
  3. Step 3: Cross multiply
    130,954x = 196,213 × 196,213
  4. Step 4: Simplify right side
    130,954x = 38,499,541,369
  5. Step 5: Solve for x
    x = 38,499,541,369/130,954
  6. Step 6: Final answer
    x = 293,992.86

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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.