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Finding the Third Proportional to 120,326 and 187,054

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Solution

The third proportional to 120,326 and 187,054 is: 290,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,326 : 187,054 = 187,054 : x
  2. Step 2: Convert to fraction form
    120,326/187,054 = 187,054/x
  3. Step 3: Cross multiply
    120,326x = 187,054 × 187,054
  4. Step 4: Simplify right side
    120,326x = 34,989,198,916
  5. Step 5: Solve for x
    x = 34,989,198,916/120,326
  6. Step 6: Final answer
    x = 290,786.69

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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.