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Finding the Third Proportional to 128,769.75 and 196,997.06

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Solution

The third proportional to 128,769.75 and 196,997.06 is: 301,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,769.75 : 196,997.06 = 196,997.06 : x
  2. Step 2: Convert to fraction form
    128,769.75/196,997.06 = 196,997.06/x
  3. Step 3: Cross multiply
    128,769.75x = 196,997.06 × 196,997.06
  4. Step 4: Simplify right side
    128,769.75x = 38,807,842,633.63
  5. Step 5: Solve for x
    x = 38,807,842,633.63/128,769.75
  6. Step 6: Final answer
    x = 301,373.91

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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.