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Finding the Third Proportional to 66,009 and 154,025

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Solution

The third proportional to 66,009 and 154,025 is: 359,401.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,009 : 154,025 = 154,025 : x
  2. Step 2: Convert to fraction form
    66,009/154,025 = 154,025/x
  3. Step 3: Cross multiply
    66,009x = 154,025 × 154,025
  4. Step 4: Simplify right side
    66,009x = 23,723,700,625
  5. Step 5: Solve for x
    x = 23,723,700,625/66,009
  6. Step 6: Final answer
    x = 359,401.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.