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Finding the Third Proportional to 30,197 and 65,245

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Solution

The third proportional to 30,197 and 65,245 is: 140,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197 : 65,245 = 65,245 : x
  2. Step 2: Convert to fraction form
    30,197/65,245 = 65,245/x
  3. Step 3: Cross multiply
    30,197x = 65,245 × 65,245
  4. Step 4: Simplify right side
    30,197x = 4,256,910,025
  5. Step 5: Solve for x
    x = 4,256,910,025/30,197
  6. Step 6: Final answer
    x = 140,971.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.