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Finding the Third Proportional to 132,059 and 197,610

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Solution

The third proportional to 132,059 and 197,610 is: 295,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,059 : 197,610 = 197,610 : x
  2. Step 2: Convert to fraction form
    132,059/197,610 = 197,610/x
  3. Step 3: Cross multiply
    132,059x = 197,610 × 197,610
  4. Step 4: Simplify right side
    132,059x = 39,049,712,100
  5. Step 5: Solve for x
    x = 39,049,712,100/132,059
  6. Step 6: Final answer
    x = 295,698.98

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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.