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Finding the Third Proportional to 90,797 and 140,025

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Solution

The third proportional to 90,797 and 140,025 is: 215,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,797 : 140,025 = 140,025 : x
  2. Step 2: Convert to fraction form
    90,797/140,025 = 140,025/x
  3. Step 3: Cross multiply
    90,797x = 140,025 × 140,025
  4. Step 4: Simplify right side
    90,797x = 19,607,000,625
  5. Step 5: Solve for x
    x = 19,607,000,625/90,797
  6. Step 6: Final answer
    x = 215,943.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.