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Finding the Third Proportional to 51,224 and 79,108

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Solution

The third proportional to 51,224 and 79,108 is: 122,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,224 : 79,108 = 79,108 : x
  2. Step 2: Convert to fraction form
    51,224/79,108 = 79,108/x
  3. Step 3: Cross multiply
    51,224x = 79,108 × 79,108
  4. Step 4: Simplify right side
    51,224x = 6,258,075,664
  5. Step 5: Solve for x
    x = 6,258,075,664/51,224
  6. Step 6: Final answer
    x = 122,170.77

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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.