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Finding the Third Proportional to 59,313.50 and 82,247

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Solution

The third proportional to 59,313.50 and 82,247 is: 114,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,313.50 : 82,247 = 82,247 : x
  2. Step 2: Convert to fraction form
    59,313.50/82,247 = 82,247/x
  3. Step 3: Cross multiply
    59,313.50x = 82,247 × 82,247
  4. Step 4: Simplify right side
    59,313.50x = 6,764,569,009
  5. Step 5: Solve for x
    x = 6,764,569,009/59,313.50
  6. Step 6: Final answer
    x = 114,047.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.