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Finding the Third Proportional to 132,048 and 197,565

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Solution

The third proportional to 132,048 and 197,565 is: 295,588.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048 : 197,565 = 197,565 : x
  2. Step 2: Convert to fraction form
    132,048/197,565 = 197,565/x
  3. Step 3: Cross multiply
    132,048x = 197,565 × 197,565
  4. Step 4: Simplify right side
    132,048x = 39,031,929,225
  5. Step 5: Solve for x
    x = 39,031,929,225/132,048
  6. Step 6: Final answer
    x = 295,588.95

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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.