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Finding the Third Proportional to 70,869 and 109,726

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Solution

The third proportional to 70,869 and 109,726 is: 169,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,869 : 109,726 = 109,726 : x
  2. Step 2: Convert to fraction form
    70,869/109,726 = 109,726/x
  3. Step 3: Cross multiply
    70,869x = 109,726 × 109,726
  4. Step 4: Simplify right side
    70,869x = 12,039,795,076
  5. Step 5: Solve for x
    x = 12,039,795,076/70,869
  6. Step 6: Final answer
    x = 169,888.03

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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.