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Finding the Third Proportional to 122,934 and 197,169

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Solution

The third proportional to 122,934 and 197,169 is: 316,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,934 : 197,169 = 197,169 : x
  2. Step 2: Convert to fraction form
    122,934/197,169 = 197,169/x
  3. Step 3: Cross multiply
    122,934x = 197,169 × 197,169
  4. Step 4: Simplify right side
    122,934x = 38,875,614,561
  5. Step 5: Solve for x
    x = 38,875,614,561/122,934
  6. Step 6: Final answer
    x = 316,231.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.