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Finding the Third Proportional to 70,996 and 107,790

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Solution

The third proportional to 70,996 and 107,790 is: 163,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996 : 107,790 = 107,790 : x
  2. Step 2: Convert to fraction form
    70,996/107,790 = 107,790/x
  3. Step 3: Cross multiply
    70,996x = 107,790 × 107,790
  4. Step 4: Simplify right side
    70,996x = 11,618,684,100
  5. Step 5: Solve for x
    x = 11,618,684,100/70,996
  6. Step 6: Final answer
    x = 163,652.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.