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Finding the Third Proportional to 127,232 and 197,105

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Solution

The third proportional to 127,232 and 197,105 is: 305,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,232 : 197,105 = 197,105 : x
  2. Step 2: Convert to fraction form
    127,232/197,105 = 197,105/x
  3. Step 3: Cross multiply
    127,232x = 197,105 × 197,105
  4. Step 4: Simplify right side
    127,232x = 38,850,381,025
  5. Step 5: Solve for x
    x = 38,850,381,025/127,232
  6. Step 6: Final answer
    x = 305,350.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.