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Finding the Third Proportional to 86,002 and 130,301

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Solution

The third proportional to 86,002 and 130,301 is: 197,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002 : 130,301 = 130,301 : x
  2. Step 2: Convert to fraction form
    86,002/130,301 = 130,301/x
  3. Step 3: Cross multiply
    86,002x = 130,301 × 130,301
  4. Step 4: Simplify right side
    86,002x = 16,978,350,601
  5. Step 5: Solve for x
    x = 16,978,350,601/86,002
  6. Step 6: Final answer
    x = 197,418.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.