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Finding the Third Proportional to 73,928 and 114,686

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Solution

The third proportional to 73,928 and 114,686 is: 177,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,928 : 114,686 = 114,686 : x
  2. Step 2: Convert to fraction form
    73,928/114,686 = 114,686/x
  3. Step 3: Cross multiply
    73,928x = 114,686 × 114,686
  4. Step 4: Simplify right side
    73,928x = 13,152,878,596
  5. Step 5: Solve for x
    x = 13,152,878,596/73,928
  6. Step 6: Final answer
    x = 177,914.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.