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Finding the Third Proportional to 120,138 and 173,054

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Solution

The third proportional to 120,138 and 173,054 is: 249,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,138 : 173,054 = 173,054 : x
  2. Step 2: Convert to fraction form
    120,138/173,054 = 173,054/x
  3. Step 3: Cross multiply
    120,138x = 173,054 × 173,054
  4. Step 4: Simplify right side
    120,138x = 29,947,686,916
  5. Step 5: Solve for x
    x = 29,947,686,916/120,138
  6. Step 6: Final answer
    x = 249,277.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.