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Finding the Third Proportional to 68,976 and 102,171

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Solution

The third proportional to 68,976 and 102,171 is: 151,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,976 : 102,171 = 102,171 : x
  2. Step 2: Convert to fraction form
    68,976/102,171 = 102,171/x
  3. Step 3: Cross multiply
    68,976x = 102,171 × 102,171
  4. Step 4: Simplify right side
    68,976x = 10,438,913,241
  5. Step 5: Solve for x
    x = 10,438,913,241/68,976
  6. Step 6: Final answer
    x = 151,341.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.