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Finding the Third Proportional to 74,226.75 and 114,675

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Solution

The third proportional to 74,226.75 and 114,675 is: 177,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226.75 : 114,675 = 114,675 : x
  2. Step 2: Convert to fraction form
    74,226.75/114,675 = 114,675/x
  3. Step 3: Cross multiply
    74,226.75x = 114,675 × 114,675
  4. Step 4: Simplify right side
    74,226.75x = 13,150,355,625
  5. Step 5: Solve for x
    x = 13,150,355,625/74,226.75
  6. Step 6: Final answer
    x = 177,164.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.