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Finding the Third Proportional to 51,838 and 73,336

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Solution

The third proportional to 51,838 and 73,336 is: 103,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838 : 73,336 = 73,336 : x
  2. Step 2: Convert to fraction form
    51,838/73,336 = 73,336/x
  3. Step 3: Cross multiply
    51,838x = 73,336 × 73,336
  4. Step 4: Simplify right side
    51,838x = 5,378,168,896
  5. Step 5: Solve for x
    x = 5,378,168,896/51,838
  6. Step 6: Final answer
    x = 103,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.