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Finding the Third Proportional to 68,014 and 102,021

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Solution

The third proportional to 68,014 and 102,021 is: 153,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,014 : 102,021 = 102,021 : x
  2. Step 2: Convert to fraction form
    68,014/102,021 = 102,021/x
  3. Step 3: Cross multiply
    68,014x = 102,021 × 102,021
  4. Step 4: Simplify right side
    68,014x = 10,408,284,441
  5. Step 5: Solve for x
    x = 10,408,284,441/68,014
  6. Step 6: Final answer
    x = 153,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.