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Finding the Third Proportional to 49,651 and 106,409

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Solution

The third proportional to 49,651 and 106,409 is: 228,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,651 : 106,409 = 106,409 : x
  2. Step 2: Convert to fraction form
    49,651/106,409 = 106,409/x
  3. Step 3: Cross multiply
    49,651x = 106,409 × 106,409
  4. Step 4: Simplify right side
    49,651x = 11,322,875,281
  5. Step 5: Solve for x
    x = 11,322,875,281/49,651
  6. Step 6: Final answer
    x = 228,049.29

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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.