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Finding the Third Proportional to 55,846.50 and 113,313

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Solution

The third proportional to 55,846.50 and 113,313 is: 229,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846.50 : 113,313 = 113,313 : x
  2. Step 2: Convert to fraction form
    55,846.50/113,313 = 113,313/x
  3. Step 3: Cross multiply
    55,846.50x = 113,313 × 113,313
  4. Step 4: Simplify right side
    55,846.50x = 12,839,835,969
  5. Step 5: Solve for x
    x = 12,839,835,969/55,846.50
  6. Step 6: Final answer
    x = 229,912.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.