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Finding the Third Proportional to 47,984.50 and 103,259

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Solution

The third proportional to 47,984.50 and 103,259 is: 222,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,984.50 : 103,259 = 103,259 : x
  2. Step 2: Convert to fraction form
    47,984.50/103,259 = 103,259/x
  3. Step 3: Cross multiply
    47,984.50x = 103,259 × 103,259
  4. Step 4: Simplify right side
    47,984.50x = 10,662,421,081
  5. Step 5: Solve for x
    x = 10,662,421,081/47,984.50
  6. Step 6: Final answer
    x = 222,205.53

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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.