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Finding the Third Proportional to 104,477 and 146,805

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Solution

The third proportional to 104,477 and 146,805 is: 206,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,477 : 146,805 = 146,805 : x
  2. Step 2: Convert to fraction form
    104,477/146,805 = 146,805/x
  3. Step 3: Cross multiply
    104,477x = 146,805 × 146,805
  4. Step 4: Simplify right side
    104,477x = 21,551,708,025
  5. Step 5: Solve for x
    x = 21,551,708,025/104,477
  6. Step 6: Final answer
    x = 206,281.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.