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Finding the Third Proportional to 51,848 and 79,278

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Solution

The third proportional to 51,848 and 79,278 is: 121,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,848 : 79,278 = 79,278 : x
  2. Step 2: Convert to fraction form
    51,848/79,278 = 79,278/x
  3. Step 3: Cross multiply
    51,848x = 79,278 × 79,278
  4. Step 4: Simplify right side
    51,848x = 6,285,001,284
  5. Step 5: Solve for x
    x = 6,285,001,284/51,848
  6. Step 6: Final answer
    x = 121,219.74

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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.