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Finding the Third Proportional to 51,318 and 78,777

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Solution

The third proportional to 51,318 and 78,777 is: 120,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318 : 78,777 = 78,777 : x
  2. Step 2: Convert to fraction form
    51,318/78,777 = 78,777/x
  3. Step 3: Cross multiply
    51,318x = 78,777 × 78,777
  4. Step 4: Simplify right side
    51,318x = 6,205,815,729
  5. Step 5: Solve for x
    x = 6,205,815,729/51,318
  6. Step 6: Final answer
    x = 120,928.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.