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Finding the Third Proportional to 68,544 and 100,242

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Solution

The third proportional to 68,544 and 100,242 is: 146,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 100,242 = 100,242 : x
  2. Step 2: Convert to fraction form
    68,544/100,242 = 100,242/x
  3. Step 3: Cross multiply
    68,544x = 100,242 × 100,242
  4. Step 4: Simplify right side
    68,544x = 10,048,458,564
  5. Step 5: Solve for x
    x = 10,048,458,564/68,544
  6. Step 6: Final answer
    x = 146,598.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.