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Finding the Third Proportional to 70,867 and 109,724

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Solution

The third proportional to 70,867 and 109,724 is: 169,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,867 : 109,724 = 109,724 : x
  2. Step 2: Convert to fraction form
    70,867/109,724 = 109,724/x
  3. Step 3: Cross multiply
    70,867x = 109,724 × 109,724
  4. Step 4: Simplify right side
    70,867x = 12,039,356,176
  5. Step 5: Solve for x
    x = 12,039,356,176/70,867
  6. Step 6: Final answer
    x = 169,886.64

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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.