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Finding the Third Proportional to 100,446 and 146,898

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Solution

The third proportional to 100,446 and 146,898 is: 214,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,446 : 146,898 = 146,898 : x
  2. Step 2: Convert to fraction form
    100,446/146,898 = 146,898/x
  3. Step 3: Cross multiply
    100,446x = 146,898 × 146,898
  4. Step 4: Simplify right side
    100,446x = 21,579,022,404
  5. Step 5: Solve for x
    x = 21,579,022,404/100,446
  6. Step 6: Final answer
    x = 214,832.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.