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Finding the Third Proportional to 122,994 and 180,114

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Solution

The third proportional to 122,994 and 180,114 is: 263,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,994 : 180,114 = 180,114 : x
  2. Step 2: Convert to fraction form
    122,994/180,114 = 180,114/x
  3. Step 3: Cross multiply
    122,994x = 180,114 × 180,114
  4. Step 4: Simplify right side
    122,994x = 32,441,052,996
  5. Step 5: Solve for x
    x = 32,441,052,996/122,994
  6. Step 6: Final answer
    x = 263,761.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.