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Finding the Third Proportional to 127,188 and 197,622

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Solution

The third proportional to 127,188 and 197,622 is: 307,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188 : 197,622 = 197,622 : x
  2. Step 2: Convert to fraction form
    127,188/197,622 = 197,622/x
  3. Step 3: Cross multiply
    127,188x = 197,622 × 197,622
  4. Step 4: Simplify right side
    127,188x = 39,054,454,884
  5. Step 5: Solve for x
    x = 39,054,454,884/127,188
  6. Step 6: Final answer
    x = 307,060.85

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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.