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Finding the Third Proportional to 133,956 and 196,560

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Solution

The third proportional to 133,956 and 196,560 is: 288,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,956 : 196,560 = 196,560 : x
  2. Step 2: Convert to fraction form
    133,956/196,560 = 196,560/x
  3. Step 3: Cross multiply
    133,956x = 196,560 × 196,560
  4. Step 4: Simplify right side
    133,956x = 38,635,833,600
  5. Step 5: Solve for x
    x = 38,635,833,600/133,956
  6. Step 6: Final answer
    x = 288,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.