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Finding the Third Proportional to 48,351.94 and 106,515

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Solution

The third proportional to 48,351.94 and 106,515 is: 234,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,351.94 : 106,515 = 106,515 : x
  2. Step 2: Convert to fraction form
    48,351.94/106,515 = 106,515/x
  3. Step 3: Cross multiply
    48,351.94x = 106,515 × 106,515
  4. Step 4: Simplify right side
    48,351.94x = 11,345,445,225
  5. Step 5: Solve for x
    x = 11,345,445,225/48,351.94
  6. Step 6: Final answer
    x = 234,643.03

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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.