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Finding the Third Proportional to 106,954 and 122,506

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Solution

The third proportional to 106,954 and 122,506 is: 140,319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954 : 122,506 = 122,506 : x
  2. Step 2: Convert to fraction form
    106,954/122,506 = 122,506/x
  3. Step 3: Cross multiply
    106,954x = 122,506 × 122,506
  4. Step 4: Simplify right side
    106,954x = 15,007,720,036
  5. Step 5: Solve for x
    x = 15,007,720,036/106,954
  6. Step 6: Final answer
    x = 140,319.39

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.