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Finding the Third Proportional to 100,951.50 and 146,728.50

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Solution

The third proportional to 100,951.50 and 146,728.50 is: 213,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,951.50 : 146,728.50 = 146,728.50 : x
  2. Step 2: Convert to fraction form
    100,951.50/146,728.50 = 146,728.50/x
  3. Step 3: Cross multiply
    100,951.50x = 146,728.50 × 146,728.50
  4. Step 4: Simplify right side
    100,951.50x = 21,529,252,712.25
  5. Step 5: Solve for x
    x = 21,529,252,712.25/100,951.50
  6. Step 6: Final answer
    x = 213,263.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.