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Finding the Third Proportional to 128,709 and 196,893

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Solution

The third proportional to 128,709 and 196,893 is: 301,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,709 : 196,893 = 196,893 : x
  2. Step 2: Convert to fraction form
    128,709/196,893 = 196,893/x
  3. Step 3: Cross multiply
    128,709x = 196,893 × 196,893
  4. Step 4: Simplify right side
    128,709x = 38,766,853,449
  5. Step 5: Solve for x
    x = 38,766,853,449/128,709
  6. Step 6: Final answer
    x = 301,197.69

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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.