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Finding the Third Proportional to 51,002 and 79,168

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Solution

The third proportional to 51,002 and 79,168 is: 122,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,002 : 79,168 = 79,168 : x
  2. Step 2: Convert to fraction form
    51,002/79,168 = 79,168/x
  3. Step 3: Cross multiply
    51,002x = 79,168 × 79,168
  4. Step 4: Simplify right side
    51,002x = 6,267,572,224
  5. Step 5: Solve for x
    x = 6,267,572,224/51,002
  6. Step 6: Final answer
    x = 122,888.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.