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Finding the Third Proportional to 142,120 and 236,856

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Solution

The third proportional to 142,120 and 236,856 is: 394,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,120 : 236,856 = 236,856 : x
  2. Step 2: Convert to fraction form
    142,120/236,856 = 236,856/x
  3. Step 3: Cross multiply
    142,120x = 236,856 × 236,856
  4. Step 4: Simplify right side
    142,120x = 56,100,764,736
  5. Step 5: Solve for x
    x = 56,100,764,736/142,120
  6. Step 6: Final answer
    x = 394,742.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.