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Finding the Third Proportional to 45,427.50 and 106,110

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Solution

The third proportional to 45,427.50 and 106,110 is: 247,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,427.50 : 106,110 = 106,110 : x
  2. Step 2: Convert to fraction form
    45,427.50/106,110 = 106,110/x
  3. Step 3: Cross multiply
    45,427.50x = 106,110 × 106,110
  4. Step 4: Simplify right side
    45,427.50x = 11,259,332,100
  5. Step 5: Solve for x
    x = 11,259,332,100/45,427.50
  6. Step 6: Final answer
    x = 247,852.78

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