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Finding the Third Proportional to 48,193 and 104,430

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Solution

The third proportional to 48,193 and 104,430 is: 226,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193 : 104,430 = 104,430 : x
  2. Step 2: Convert to fraction form
    48,193/104,430 = 104,430/x
  3. Step 3: Cross multiply
    48,193x = 104,430 × 104,430
  4. Step 4: Simplify right side
    48,193x = 10,905,624,900
  5. Step 5: Solve for x
    x = 10,905,624,900/48,193
  6. Step 6: Final answer
    x = 226,290.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.