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Finding the Third Proportional to 128,786 and 197,006

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Solution

The third proportional to 128,786 and 197,006 is: 301,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,786 : 197,006 = 197,006 : x
  2. Step 2: Convert to fraction form
    128,786/197,006 = 197,006/x
  3. Step 3: Cross multiply
    128,786x = 197,006 × 197,006
  4. Step 4: Simplify right side
    128,786x = 38,811,364,036
  5. Step 5: Solve for x
    x = 38,811,364,036/128,786
  6. Step 6: Final answer
    x = 301,363.22

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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.