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Finding the Third Proportional to 70.83 and 110.39

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Solution

The third proportional to 70.83 and 110.39 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.83 : 110.39 = 110.39 : x
  2. Step 2: Convert to fraction form
    70.83/110.39 = 110.39/x
  3. Step 3: Cross multiply
    70.83x = 110.39 × 110.39
  4. Step 4: Simplify right side
    70.83x = 12,186.09
  5. Step 5: Solve for x
    x = 12,186.09/70.83
  6. Step 6: Final answer
    x = 172.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.