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Finding the Third Proportional to 87,093 and 130,301

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Solution

The third proportional to 87,093 and 130,301 is: 194,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,093 : 130,301 = 130,301 : x
  2. Step 2: Convert to fraction form
    87,093/130,301 = 130,301/x
  3. Step 3: Cross multiply
    87,093x = 130,301 × 130,301
  4. Step 4: Simplify right side
    87,093x = 16,978,350,601
  5. Step 5: Solve for x
    x = 16,978,350,601/87,093
  6. Step 6: Final answer
    x = 194,945.07

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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.