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Finding the Third Proportional to 67,706 and 102,999

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Solution

The third proportional to 67,706 and 102,999 is: 156,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,706 : 102,999 = 102,999 : x
  2. Step 2: Convert to fraction form
    67,706/102,999 = 102,999/x
  3. Step 3: Cross multiply
    67,706x = 102,999 × 102,999
  4. Step 4: Simplify right side
    67,706x = 10,608,794,001
  5. Step 5: Solve for x
    x = 10,608,794,001/67,706
  6. Step 6: Final answer
    x = 156,689.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.