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Finding the Third Proportional to 51,814.50 and 107,313

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Solution

The third proportional to 51,814.50 and 107,313 is: 222,255.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.50 : 107,313 = 107,313 : x
  2. Step 2: Convert to fraction form
    51,814.50/107,313 = 107,313/x
  3. Step 3: Cross multiply
    51,814.50x = 107,313 × 107,313
  4. Step 4: Simplify right side
    51,814.50x = 11,516,079,969
  5. Step 5: Solve for x
    x = 11,516,079,969/51,814.50
  6. Step 6: Final answer
    x = 222,255.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.