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Finding the Third Proportional to 48,415.50 and 104,247

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Solution

The third proportional to 48,415.50 and 104,247 is: 224,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415.50 : 104,247 = 104,247 : x
  2. Step 2: Convert to fraction form
    48,415.50/104,247 = 104,247/x
  3. Step 3: Cross multiply
    48,415.50x = 104,247 × 104,247
  4. Step 4: Simplify right side
    48,415.50x = 10,867,437,009
  5. Step 5: Solve for x
    x = 10,867,437,009/48,415.50
  6. Step 6: Final answer
    x = 224,461.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.