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Finding the Third Proportional to 66,195 and 101,025

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Solution

The third proportional to 66,195 and 101,025 is: 154,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,195 : 101,025 = 101,025 : x
  2. Step 2: Convert to fraction form
    66,195/101,025 = 101,025/x
  3. Step 3: Cross multiply
    66,195x = 101,025 × 101,025
  4. Step 4: Simplify right side
    66,195x = 10,206,050,625
  5. Step 5: Solve for x
    x = 10,206,050,625/66,195
  6. Step 6: Final answer
    x = 154,181.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.