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Finding the Third Proportional to 58,016 and 126,683

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Solution

The third proportional to 58,016 and 126,683 is: 276,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,016 : 126,683 = 126,683 : x
  2. Step 2: Convert to fraction form
    58,016/126,683 = 126,683/x
  3. Step 3: Cross multiply
    58,016x = 126,683 × 126,683
  4. Step 4: Simplify right side
    58,016x = 16,048,582,489
  5. Step 5: Solve for x
    x = 16,048,582,489/58,016
  6. Step 6: Final answer
    x = 276,623.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.