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Finding the Third Proportional to 132,054 and 197,606

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Solution

The third proportional to 132,054 and 197,606 is: 295,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,054 : 197,606 = 197,606 : x
  2. Step 2: Convert to fraction form
    132,054/197,606 = 197,606/x
  3. Step 3: Cross multiply
    132,054x = 197,606 × 197,606
  4. Step 4: Simplify right side
    132,054x = 39,048,131,236
  5. Step 5: Solve for x
    x = 39,048,131,236/132,054
  6. Step 6: Final answer
    x = 295,698.21

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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.