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Finding the Third Proportional to 48,762 and 104,989.50

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Solution

The third proportional to 48,762 and 104,989.50 is: 226,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762 : 104,989.50 = 104,989.50 : x
  2. Step 2: Convert to fraction form
    48,762/104,989.50 = 104,989.50/x
  3. Step 3: Cross multiply
    48,762x = 104,989.50 × 104,989.50
  4. Step 4: Simplify right side
    48,762x = 11,022,795,110.25
  5. Step 5: Solve for x
    x = 11,022,795,110.25/48,762
  6. Step 6: Final answer
    x = 226,052.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.