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Finding the Third Proportional to 50,558 and 77,946

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Solution

The third proportional to 50,558 and 77,946 is: 120,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,558 : 77,946 = 77,946 : x
  2. Step 2: Convert to fraction form
    50,558/77,946 = 77,946/x
  3. Step 3: Cross multiply
    50,558x = 77,946 × 77,946
  4. Step 4: Simplify right side
    50,558x = 6,075,578,916
  5. Step 5: Solve for x
    x = 6,075,578,916/50,558
  6. Step 6: Final answer
    x = 120,170.48

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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.