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Finding the Third Proportional to 48,763.50 and 104,439

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Solution

The third proportional to 48,763.50 and 104,439 is: 223,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,763.50 : 104,439 = 104,439 : x
  2. Step 2: Convert to fraction form
    48,763.50/104,439 = 104,439/x
  3. Step 3: Cross multiply
    48,763.50x = 104,439 × 104,439
  4. Step 4: Simplify right side
    48,763.50x = 10,907,504,721
  5. Step 5: Solve for x
    x = 10,907,504,721/48,763.50
  6. Step 6: Final answer
    x = 223,681.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.