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Finding the Third Proportional to 104,651 and 149,457

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Solution

The third proportional to 104,651 and 149,457 is: 213,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,651 : 149,457 = 149,457 : x
  2. Step 2: Convert to fraction form
    104,651/149,457 = 149,457/x
  3. Step 3: Cross multiply
    104,651x = 149,457 × 149,457
  4. Step 4: Simplify right side
    104,651x = 22,337,394,849
  5. Step 5: Solve for x
    x = 22,337,394,849/104,651
  6. Step 6: Final answer
    x = 213,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.