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Finding the Third Proportional to 70,920 and 105,878

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Solution

The third proportional to 70,920 and 105,878 is: 158,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,920 : 105,878 = 105,878 : x
  2. Step 2: Convert to fraction form
    70,920/105,878 = 105,878/x
  3. Step 3: Cross multiply
    70,920x = 105,878 × 105,878
  4. Step 4: Simplify right side
    70,920x = 11,210,150,884
  5. Step 5: Solve for x
    x = 11,210,150,884/70,920
  6. Step 6: Final answer
    x = 158,067.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.