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Finding the Third Proportional to 51,994 and 79,085

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Solution

The third proportional to 51,994 and 79,085 is: 120,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994 : 79,085 = 79,085 : x
  2. Step 2: Convert to fraction form
    51,994/79,085 = 79,085/x
  3. Step 3: Cross multiply
    51,994x = 79,085 × 79,085
  4. Step 4: Simplify right side
    51,994x = 6,254,437,225
  5. Step 5: Solve for x
    x = 6,254,437,225/51,994
  6. Step 6: Final answer
    x = 120,291.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.