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Finding the Third Proportional to 132,062 and 197,612

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Solution

The third proportional to 132,062 and 197,612 is: 295,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,062 : 197,612 = 197,612 : x
  2. Step 2: Convert to fraction form
    132,062/197,612 = 197,612/x
  3. Step 3: Cross multiply
    132,062x = 197,612 × 197,612
  4. Step 4: Simplify right side
    132,062x = 39,050,502,544
  5. Step 5: Solve for x
    x = 39,050,502,544/132,062
  6. Step 6: Final answer
    x = 295,698.25

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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.