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Finding the Third Proportional to 51,066 and 77,679

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Solution

The third proportional to 51,066 and 77,679 is: 118,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066 : 77,679 = 77,679 : x
  2. Step 2: Convert to fraction form
    51,066/77,679 = 77,679/x
  3. Step 3: Cross multiply
    51,066x = 77,679 × 77,679
  4. Step 4: Simplify right side
    51,066x = 6,034,027,041
  5. Step 5: Solve for x
    x = 6,034,027,041/51,066
  6. Step 6: Final answer
    x = 118,161.34

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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.