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Finding the Third Proportional to 83,679 and 117,041

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Solution

The third proportional to 83,679 and 117,041 is: 163,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,679 : 117,041 = 117,041 : x
  2. Step 2: Convert to fraction form
    83,679/117,041 = 117,041/x
  3. Step 3: Cross multiply
    83,679x = 117,041 × 117,041
  4. Step 4: Simplify right side
    83,679x = 13,698,595,681
  5. Step 5: Solve for x
    x = 13,698,595,681/83,679
  6. Step 6: Final answer
    x = 163,704.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.