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Finding the Third Proportional to 48,274.75 and 100,963.50

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Solution

The third proportional to 48,274.75 and 100,963.50 is: 211,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,274.75 : 100,963.50 = 100,963.50 : x
  2. Step 2: Convert to fraction form
    48,274.75/100,963.50 = 100,963.50/x
  3. Step 3: Cross multiply
    48,274.75x = 100,963.50 × 100,963.50
  4. Step 4: Simplify right side
    48,274.75x = 10,193,628,332.25
  5. Step 5: Solve for x
    x = 10,193,628,332.25/48,274.75
  6. Step 6: Final answer
    x = 211,158.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.