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Finding the Third Proportional to 50,956 and 78,706

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Solution

The third proportional to 50,956 and 78,706 is: 121,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,956 : 78,706 = 78,706 : x
  2. Step 2: Convert to fraction form
    50,956/78,706 = 78,706/x
  3. Step 3: Cross multiply
    50,956x = 78,706 × 78,706
  4. Step 4: Simplify right side
    50,956x = 6,194,634,436
  5. Step 5: Solve for x
    x = 6,194,634,436/50,956
  6. Step 6: Final answer
    x = 121,568.30

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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.