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Finding the Third Proportional to 133,048 and 195,682

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Solution

The third proportional to 133,048 and 195,682 is: 287,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 195,682 = 195,682 : x
  2. Step 2: Convert to fraction form
    133,048/195,682 = 195,682/x
  3. Step 3: Cross multiply
    133,048x = 195,682 × 195,682
  4. Step 4: Simplify right side
    133,048x = 38,291,445,124
  5. Step 5: Solve for x
    x = 38,291,445,124/133,048
  6. Step 6: Final answer
    x = 287,801.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.