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Finding the Third Proportional to 45,534 and 68,936

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Solution

The third proportional to 45,534 and 68,936 is: 104,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,534 : 68,936 = 68,936 : x
  2. Step 2: Convert to fraction form
    45,534/68,936 = 68,936/x
  3. Step 3: Cross multiply
    45,534x = 68,936 × 68,936
  4. Step 4: Simplify right side
    45,534x = 4,752,172,096
  5. Step 5: Solve for x
    x = 4,752,172,096/45,534
  6. Step 6: Final answer
    x = 104,365.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.