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Finding the Third Proportional to 54,902.81 and 100,738.69

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Solution

The third proportional to 54,902.81 and 100,738.69 is: 184,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,902.81 : 100,738.69 = 100,738.69 : x
  2. Step 2: Convert to fraction form
    54,902.81/100,738.69 = 100,738.69/x
  3. Step 3: Cross multiply
    54,902.81x = 100,738.69 × 100,738.69
  4. Step 4: Simplify right side
    54,902.81x = 10,148,283,159.22
  5. Step 5: Solve for x
    x = 10,148,283,159.22/54,902.81
  6. Step 6: Final answer
    x = 184,840.86

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.