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Finding the Third Proportional to 50,443 and 78,056

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Solution

The third proportional to 50,443 and 78,056 is: 120,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,443 : 78,056 = 78,056 : x
  2. Step 2: Convert to fraction form
    50,443/78,056 = 78,056/x
  3. Step 3: Cross multiply
    50,443x = 78,056 × 78,056
  4. Step 4: Simplify right side
    50,443x = 6,092,739,136
  5. Step 5: Solve for x
    x = 6,092,739,136/50,443
  6. Step 6: Final answer
    x = 120,784.63

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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.