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Finding the Third Proportional to 100,545 and 149,451

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Solution

The third proportional to 100,545 and 149,451 is: 222,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,545 : 149,451 = 149,451 : x
  2. Step 2: Convert to fraction form
    100,545/149,451 = 149,451/x
  3. Step 3: Cross multiply
    100,545x = 149,451 × 149,451
  4. Step 4: Simplify right side
    100,545x = 22,335,601,401
  5. Step 5: Solve for x
    x = 22,335,601,401/100,545
  6. Step 6: Final answer
    x = 222,145.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.