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Finding the Third Proportional to 50,068.75 and 107,245

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Solution

The third proportional to 50,068.75 and 107,245 is: 229,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,068.75 : 107,245 = 107,245 : x
  2. Step 2: Convert to fraction form
    50,068.75/107,245 = 107,245/x
  3. Step 3: Cross multiply
    50,068.75x = 107,245 × 107,245
  4. Step 4: Simplify right side
    50,068.75x = 11,501,490,025
  5. Step 5: Solve for x
    x = 11,501,490,025/50,068.75
  6. Step 6: Final answer
    x = 229,713.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.