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Finding the Third Proportional to 142,057.13 and 236,732.63

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Solution

The third proportional to 142,057.13 and 236,732.63 is: 394,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.13 : 236,732.63 = 236,732.63 : x
  2. Step 2: Convert to fraction form
    142,057.13/236,732.63 = 236,732.63/x
  3. Step 3: Cross multiply
    142,057.13x = 236,732.63 × 236,732.63
  4. Step 4: Simplify right side
    142,057.13x = 56,042,335,739.39
  5. Step 5: Solve for x
    x = 56,042,335,739.39/142,057.13
  6. Step 6: Final answer
    x = 394,505.63

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