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Finding the Third Proportional to 142,069 and 236,751

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Solution

The third proportional to 142,069 and 236,751 is: 394,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,069 : 236,751 = 236,751 : x
  2. Step 2: Convert to fraction form
    142,069/236,751 = 236,751/x
  3. Step 3: Cross multiply
    142,069x = 236,751 × 236,751
  4. Step 4: Simplify right side
    142,069x = 56,051,036,001
  5. Step 5: Solve for x
    x = 56,051,036,001/142,069
  6. Step 6: Final answer
    x = 394,533.90

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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.