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Finding the Third Proportional to 48,401.75 and 104,846

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Solution

The third proportional to 48,401.75 and 104,846 is: 227,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,401.75 : 104,846 = 104,846 : x
  2. Step 2: Convert to fraction form
    48,401.75/104,846 = 104,846/x
  3. Step 3: Cross multiply
    48,401.75x = 104,846 × 104,846
  4. Step 4: Simplify right side
    48,401.75x = 10,992,683,716
  5. Step 5: Solve for x
    x = 10,992,683,716/48,401.75
  6. Step 6: Final answer
    x = 227,113.35

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