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Finding the Third Proportional to 49,226 and 105,451

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Solution

The third proportional to 49,226 and 105,451 is: 225,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,226 : 105,451 = 105,451 : x
  2. Step 2: Convert to fraction form
    49,226/105,451 = 105,451/x
  3. Step 3: Cross multiply
    49,226x = 105,451 × 105,451
  4. Step 4: Simplify right side
    49,226x = 11,119,913,401
  5. Step 5: Solve for x
    x = 11,119,913,401/49,226
  6. Step 6: Final answer
    x = 225,895.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.