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Finding the Third Proportional to 43,980 and 96,025

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Solution

The third proportional to 43,980 and 96,025 is: 209,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,980 : 96,025 = 96,025 : x
  2. Step 2: Convert to fraction form
    43,980/96,025 = 96,025/x
  3. Step 3: Cross multiply
    43,980x = 96,025 × 96,025
  4. Step 4: Simplify right side
    43,980x = 9,220,800,625
  5. Step 5: Solve for x
    x = 9,220,800,625/43,980
  6. Step 6: Final answer
    x = 209,658.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.