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Finding the Third Proportional to 45,276.75 and 104,757.75

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Solution

The third proportional to 45,276.75 and 104,757.75 is: 242,380.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,276.75 : 104,757.75 = 104,757.75 : x
  2. Step 2: Convert to fraction form
    45,276.75/104,757.75 = 104,757.75/x
  3. Step 3: Cross multiply
    45,276.75x = 104,757.75 × 104,757.75
  4. Step 4: Simplify right side
    45,276.75x = 10,974,186,185.06
  5. Step 5: Solve for x
    x = 10,974,186,185.06/45,276.75
  6. Step 6: Final answer
    x = 242,380.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.