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Finding the Third Proportional to 47,952 and 104,652

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Solution

The third proportional to 47,952 and 104,652 is: 228,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,952 : 104,652 = 104,652 : x
  2. Step 2: Convert to fraction form
    47,952/104,652 = 104,652/x
  3. Step 3: Cross multiply
    47,952x = 104,652 × 104,652
  4. Step 4: Simplify right side
    47,952x = 10,952,041,104
  5. Step 5: Solve for x
    x = 10,952,041,104/47,952
  6. Step 6: Final answer
    x = 228,395.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.