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Finding the Third Proportional to 48,000.50 and 104,735

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Solution

The third proportional to 48,000.50 and 104,735 is: 228,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000.50 : 104,735 = 104,735 : x
  2. Step 2: Convert to fraction form
    48,000.50/104,735 = 104,735/x
  3. Step 3: Cross multiply
    48,000.50x = 104,735 × 104,735
  4. Step 4: Simplify right side
    48,000.50x = 10,969,420,225
  5. Step 5: Solve for x
    x = 10,969,420,225/48,000.50
  6. Step 6: Final answer
    x = 228,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.