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Finding the Third Proportional to 130,625 and 195,431

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Solution

The third proportional to 130,625 and 195,431 is: 292,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,625 : 195,431 = 195,431 : x
  2. Step 2: Convert to fraction form
    130,625/195,431 = 195,431/x
  3. Step 3: Cross multiply
    130,625x = 195,431 × 195,431
  4. Step 4: Simplify right side
    130,625x = 38,193,275,761
  5. Step 5: Solve for x
    x = 38,193,275,761/130,625
  6. Step 6: Final answer
    x = 292,388.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.