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Finding the Third Proportional to 62,666 and 135,025

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Solution

The third proportional to 62,666 and 135,025 is: 290,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,666 : 135,025 = 135,025 : x
  2. Step 2: Convert to fraction form
    62,666/135,025 = 135,025/x
  3. Step 3: Cross multiply
    62,666x = 135,025 × 135,025
  4. Step 4: Simplify right side
    62,666x = 18,231,750,625
  5. Step 5: Solve for x
    x = 18,231,750,625/62,666
  6. Step 6: Final answer
    x = 290,935.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.