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Finding the Third Proportional to 60,183 and 128,142

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Solution

The third proportional to 60,183 and 128,142 is: 272,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,183 : 128,142 = 128,142 : x
  2. Step 2: Convert to fraction form
    60,183/128,142 = 128,142/x
  3. Step 3: Cross multiply
    60,183x = 128,142 × 128,142
  4. Step 4: Simplify right side
    60,183x = 16,420,372,164
  5. Step 5: Solve for x
    x = 16,420,372,164/60,183
  6. Step 6: Final answer
    x = 272,840.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.