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Finding the Third Proportional to 48,692 and 104,652

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Solution

The third proportional to 48,692 and 104,652 is: 224,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,692 : 104,652 = 104,652 : x
  2. Step 2: Convert to fraction form
    48,692/104,652 = 104,652/x
  3. Step 3: Cross multiply
    48,692x = 104,652 × 104,652
  4. Step 4: Simplify right side
    48,692x = 10,952,041,104
  5. Step 5: Solve for x
    x = 10,952,041,104/48,692
  6. Step 6: Final answer
    x = 224,924.86

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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.