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Finding the Third Proportional to 101,116 and 134,176

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Solution

The third proportional to 101,116 and 134,176 is: 178,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,116 : 134,176 = 134,176 : x
  2. Step 2: Convert to fraction form
    101,116/134,176 = 134,176/x
  3. Step 3: Cross multiply
    101,116x = 134,176 × 134,176
  4. Step 4: Simplify right side
    101,116x = 18,003,198,976
  5. Step 5: Solve for x
    x = 18,003,198,976/101,116
  6. Step 6: Final answer
    x = 178,045.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.