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Finding the Third Proportional to 51,190 and 78,971

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Solution

The third proportional to 51,190 and 78,971 is: 121,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,190 : 78,971 = 78,971 : x
  2. Step 2: Convert to fraction form
    51,190/78,971 = 78,971/x
  3. Step 3: Cross multiply
    51,190x = 78,971 × 78,971
  4. Step 4: Simplify right side
    51,190x = 6,236,418,841
  5. Step 5: Solve for x
    x = 6,236,418,841/51,190
  6. Step 6: Final answer
    x = 121,828.85

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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.