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Finding the Third Proportional to 128,934 and 197,106

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Solution

The third proportional to 128,934 and 197,106 is: 301,322.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,934 : 197,106 = 197,106 : x
  2. Step 2: Convert to fraction form
    128,934/197,106 = 197,106/x
  3. Step 3: Cross multiply
    128,934x = 197,106 × 197,106
  4. Step 4: Simplify right side
    128,934x = 38,850,775,236
  5. Step 5: Solve for x
    x = 38,850,775,236/128,934
  6. Step 6: Final answer
    x = 301,322.97

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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.