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Finding the Third Proportional to 47,676 and 104,928

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Solution

The third proportional to 47,676 and 104,928 is: 230,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676 : 104,928 = 104,928 : x
  2. Step 2: Convert to fraction form
    47,676/104,928 = 104,928/x
  3. Step 3: Cross multiply
    47,676x = 104,928 × 104,928
  4. Step 4: Simplify right side
    47,676x = 11,009,885,184
  5. Step 5: Solve for x
    x = 11,009,885,184/47,676
  6. Step 6: Final answer
    x = 230,931.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.