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Finding the Third Proportional to 70,857 and 108,168

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Solution

The third proportional to 70,857 and 108,168 is: 165,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,857 : 108,168 = 108,168 : x
  2. Step 2: Convert to fraction form
    70,857/108,168 = 108,168/x
  3. Step 3: Cross multiply
    70,857x = 108,168 × 108,168
  4. Step 4: Simplify right side
    70,857x = 11,700,316,224
  5. Step 5: Solve for x
    x = 11,700,316,224/70,857
  6. Step 6: Final answer
    x = 165,125.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.