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Finding the Third Proportional to 133,025 and 195,647.25

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Solution

The third proportional to 133,025 and 195,647.25 is: 287,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 195,647.25 = 195,647.25 : x
  2. Step 2: Convert to fraction form
    133,025/195,647.25 = 195,647.25/x
  3. Step 3: Cross multiply
    133,025x = 195,647.25 × 195,647.25
  4. Step 4: Simplify right side
    133,025x = 38,277,846,432.56
  5. Step 5: Solve for x
    x = 38,277,846,432.56/133,025
  6. Step 6: Final answer
    x = 287,749.27

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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.