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Finding the Third Proportional to 45,426.75 and 106,104.75

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Solution

The third proportional to 45,426.75 and 106,104.75 is: 247,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,426.75 : 106,104.75 = 106,104.75 : x
  2. Step 2: Convert to fraction form
    45,426.75/106,104.75 = 106,104.75/x
  3. Step 3: Cross multiply
    45,426.75x = 106,104.75 × 106,104.75
  4. Step 4: Simplify right side
    45,426.75x = 11,258,217,972.56
  5. Step 5: Solve for x
    x = 11,258,217,972.56/45,426.75
  6. Step 6: Final answer
    x = 247,832.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.