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Finding the Third Proportional to 120,116 and 255,052

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Solution

The third proportional to 120,116 and 255,052 is: 541,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,116 : 255,052 = 255,052 : x
  2. Step 2: Convert to fraction form
    120,116/255,052 = 255,052/x
  3. Step 3: Cross multiply
    120,116x = 255,052 × 255,052
  4. Step 4: Simplify right side
    120,116x = 65,051,522,704
  5. Step 5: Solve for x
    x = 65,051,522,704/120,116
  6. Step 6: Final answer
    x = 541,572.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.