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Finding the Third Proportional to 49,410 and 104,712.75

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Solution

The third proportional to 49,410 and 104,712.75 is: 221,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410 : 104,712.75 = 104,712.75 : x
  2. Step 2: Convert to fraction form
    49,410/104,712.75 = 104,712.75/x
  3. Step 3: Cross multiply
    49,410x = 104,712.75 × 104,712.75
  4. Step 4: Simplify right side
    49,410x = 10,964,760,012.56
  5. Step 5: Solve for x
    x = 10,964,760,012.56/49,410
  6. Step 6: Final answer
    x = 221,913.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.