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Finding the Third Proportional to 50,969 and 77,790

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Solution

The third proportional to 50,969 and 77,790 is: 118,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,969 : 77,790 = 77,790 : x
  2. Step 2: Convert to fraction form
    50,969/77,790 = 77,790/x
  3. Step 3: Cross multiply
    50,969x = 77,790 × 77,790
  4. Step 4: Simplify right side
    50,969x = 6,051,284,100
  5. Step 5: Solve for x
    x = 6,051,284,100/50,969
  6. Step 6: Final answer
    x = 118,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.