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Finding the Third Proportional to 101,245 and 160,910

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Solution

The third proportional to 101,245 and 160,910 is: 255,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,245 : 160,910 = 160,910 : x
  2. Step 2: Convert to fraction form
    101,245/160,910 = 160,910/x
  3. Step 3: Cross multiply
    101,245x = 160,910 × 160,910
  4. Step 4: Simplify right side
    101,245x = 25,892,028,100
  5. Step 5: Solve for x
    x = 25,892,028,100/101,245
  6. Step 6: Final answer
    x = 255,736.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.