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Finding the Third Proportional to 131,282 and 196,881

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Solution

The third proportional to 131,282 and 196,881 is: 295,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,282 : 196,881 = 196,881 : x
  2. Step 2: Convert to fraction form
    131,282/196,881 = 196,881/x
  3. Step 3: Cross multiply
    131,282x = 196,881 × 196,881
  4. Step 4: Simplify right side
    131,282x = 38,762,128,161
  5. Step 5: Solve for x
    x = 38,762,128,161/131,282
  6. Step 6: Final answer
    x = 295,258.51

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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.