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Finding the Third Proportional to 58,372 and 128,042

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Solution

The third proportional to 58,372 and 128,042 is: 280,866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,372 : 128,042 = 128,042 : x
  2. Step 2: Convert to fraction form
    58,372/128,042 = 128,042/x
  3. Step 3: Cross multiply
    58,372x = 128,042 × 128,042
  4. Step 4: Simplify right side
    58,372x = 16,394,753,764
  5. Step 5: Solve for x
    x = 16,394,753,764/58,372
  6. Step 6: Final answer
    x = 280,866.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.