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Finding the Third Proportional to 35,087 and 74,116

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Solution

The third proportional to 35,087 and 74,116 is: 156,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,087 : 74,116 = 74,116 : x
  2. Step 2: Convert to fraction form
    35,087/74,116 = 74,116/x
  3. Step 3: Cross multiply
    35,087x = 74,116 × 74,116
  4. Step 4: Simplify right side
    35,087x = 5,493,181,456
  5. Step 5: Solve for x
    x = 5,493,181,456/35,087
  6. Step 6: Final answer
    x = 156,558.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.