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Finding the Third Proportional to 132,057 and 197,607

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Solution

The third proportional to 132,057 and 197,607 is: 295,694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057 : 197,607 = 197,607 : x
  2. Step 2: Convert to fraction form
    132,057/197,607 = 197,607/x
  3. Step 3: Cross multiply
    132,057x = 197,607 × 197,607
  4. Step 4: Simplify right side
    132,057x = 39,048,526,449
  5. Step 5: Solve for x
    x = 39,048,526,449/132,057
  6. Step 6: Final answer
    x = 295,694.48

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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.