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Finding the Third Proportional to 133,025 and 199,531

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Solution

The third proportional to 133,025 and 199,531 is: 299,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,025 : 199,531 = 199,531 : x
  2. Step 2: Convert to fraction form
    133,025/199,531 = 199,531/x
  3. Step 3: Cross multiply
    133,025x = 199,531 × 199,531
  4. Step 4: Simplify right side
    133,025x = 39,812,619,961
  5. Step 5: Solve for x
    x = 39,812,619,961/133,025
  6. Step 6: Final answer
    x = 299,286.75

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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.