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Finding the Third Proportional to 65,679 and 104,017

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Solution

The third proportional to 65,679 and 104,017 is: 164,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679 : 104,017 = 104,017 : x
  2. Step 2: Convert to fraction form
    65,679/104,017 = 104,017/x
  3. Step 3: Cross multiply
    65,679x = 104,017 × 104,017
  4. Step 4: Simplify right side
    65,679x = 10,819,536,289
  5. Step 5: Solve for x
    x = 10,819,536,289/65,679
  6. Step 6: Final answer
    x = 164,733.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.