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Finding the Third Proportional to 128,796.75 and 197,019.75

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Solution

The third proportional to 128,796.75 and 197,019.75 is: 301,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,796.75 : 197,019.75 = 197,019.75 : x
  2. Step 2: Convert to fraction form
    128,796.75/197,019.75 = 197,019.75/x
  3. Step 3: Cross multiply
    128,796.75x = 197,019.75 × 197,019.75
  4. Step 4: Simplify right side
    128,796.75x = 38,816,781,890.06
  5. Step 5: Solve for x
    x = 38,816,781,890.06/128,796.75
  6. Step 6: Final answer
    x = 301,380.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.