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Finding the Third Proportional to 50,882 and 78,878

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Solution

The third proportional to 50,882 and 78,878 is: 122,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882 : 78,878 = 78,878 : x
  2. Step 2: Convert to fraction form
    50,882/78,878 = 78,878/x
  3. Step 3: Cross multiply
    50,882x = 78,878 × 78,878
  4. Step 4: Simplify right side
    50,882x = 6,221,738,884
  5. Step 5: Solve for x
    x = 6,221,738,884/50,882
  6. Step 6: Final answer
    x = 122,277.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.