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Finding the Third Proportional to 45,015.75 and 106,116.75

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Solution

The third proportional to 45,015.75 and 106,116.75 is: 250,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 106,116.75 = 106,116.75 : x
  2. Step 2: Convert to fraction form
    45,015.75/106,116.75 = 106,116.75/x
  3. Step 3: Cross multiply
    45,015.75x = 106,116.75 × 106,116.75
  4. Step 4: Simplify right side
    45,015.75x = 11,260,764,630.56
  5. Step 5: Solve for x
    x = 11,260,764,630.56/45,015.75
  6. Step 6: Final answer
    x = 250,151.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.