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Finding the Third Proportional to 50,067 and 77,971.50

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Solution

The third proportional to 50,067 and 77,971.50 is: 121,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,067 : 77,971.50 = 77,971.50 : x
  2. Step 2: Convert to fraction form
    50,067/77,971.50 = 77,971.50/x
  3. Step 3: Cross multiply
    50,067x = 77,971.50 × 77,971.50
  4. Step 4: Simplify right side
    50,067x = 6,079,554,812.25
  5. Step 5: Solve for x
    x = 6,079,554,812.25/50,067
  6. Step 6: Final answer
    x = 121,428.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.