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Finding the Third Proportional to 102,406 and 158,999

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Solution

The third proportional to 102,406 and 158,999 is: 246,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406 : 158,999 = 158,999 : x
  2. Step 2: Convert to fraction form
    102,406/158,999 = 158,999/x
  3. Step 3: Cross multiply
    102,406x = 158,999 × 158,999
  4. Step 4: Simplify right side
    102,406x = 25,280,682,001
  5. Step 5: Solve for x
    x = 25,280,682,001/102,406
  6. Step 6: Final answer
    x = 246,867.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.