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Finding the Third Proportional to 51,048 and 110,313

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Solution

The third proportional to 51,048 and 110,313 is: 238,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048 : 110,313 = 110,313 : x
  2. Step 2: Convert to fraction form
    51,048/110,313 = 110,313/x
  3. Step 3: Cross multiply
    51,048x = 110,313 × 110,313
  4. Step 4: Simplify right side
    51,048x = 12,168,957,969
  5. Step 5: Solve for x
    x = 12,168,957,969/51,048
  6. Step 6: Final answer
    x = 238,382.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.