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Finding the Third Proportional to 70,968 and 109,869

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Solution

The third proportional to 70,968 and 109,869 is: 170,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 109,869 = 109,869 : x
  2. Step 2: Convert to fraction form
    70,968/109,869 = 109,869/x
  3. Step 3: Cross multiply
    70,968x = 109,869 × 109,869
  4. Step 4: Simplify right side
    70,968x = 12,071,197,161
  5. Step 5: Solve for x
    x = 12,071,197,161/70,968
  6. Step 6: Final answer
    x = 170,093.52

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