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Finding the Third Proportional to 67,999 and 102,057

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Solution

The third proportional to 67,999 and 102,057 is: 153,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,999 : 102,057 = 102,057 : x
  2. Step 2: Convert to fraction form
    67,999/102,057 = 102,057/x
  3. Step 3: Cross multiply
    67,999x = 102,057 × 102,057
  4. Step 4: Simplify right side
    67,999x = 10,415,631,249
  5. Step 5: Solve for x
    x = 10,415,631,249/67,999
  6. Step 6: Final answer
    x = 153,173.30

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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.