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Finding the Third Proportional to 85,798 and 131,247

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Solution

The third proportional to 85,798 and 131,247 is: 200,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,798 : 131,247 = 131,247 : x
  2. Step 2: Convert to fraction form
    85,798/131,247 = 131,247/x
  3. Step 3: Cross multiply
    85,798x = 131,247 × 131,247
  4. Step 4: Simplify right side
    85,798x = 17,225,775,009
  5. Step 5: Solve for x
    x = 17,225,775,009/85,798
  6. Step 6: Final answer
    x = 200,771.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.