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Finding the Third Proportional to 53,971 and 80,956

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Solution

The third proportional to 53,971 and 80,956 is: 121,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971 : 80,956 = 80,956 : x
  2. Step 2: Convert to fraction form
    53,971/80,956 = 80,956/x
  3. Step 3: Cross multiply
    53,971x = 80,956 × 80,956
  4. Step 4: Simplify right side
    53,971x = 6,553,873,936
  5. Step 5: Solve for x
    x = 6,553,873,936/53,971
  6. Step 6: Final answer
    x = 121,433.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.