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Finding the Third Proportional to 50,066 and 77,971

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Solution

The third proportional to 50,066 and 77,971 is: 121,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066 : 77,971 = 77,971 : x
  2. Step 2: Convert to fraction form
    50,066/77,971 = 77,971/x
  3. Step 3: Cross multiply
    50,066x = 77,971 × 77,971
  4. Step 4: Simplify right side
    50,066x = 6,079,476,841
  5. Step 5: Solve for x
    x = 6,079,476,841/50,066
  6. Step 6: Final answer
    x = 121,429.25

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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.