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Finding the Third Proportional to 122,940 and 174,114

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Solution

The third proportional to 122,940 and 174,114 is: 246,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,940 : 174,114 = 174,114 : x
  2. Step 2: Convert to fraction form
    122,940/174,114 = 174,114/x
  3. Step 3: Cross multiply
    122,940x = 174,114 × 174,114
  4. Step 4: Simplify right side
    122,940x = 30,315,684,996
  5. Step 5: Solve for x
    x = 30,315,684,996/122,940
  6. Step 6: Final answer
    x = 246,589.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.