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Finding the Third Proportional to 65,674 and 139,532

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Solution

The third proportional to 65,674 and 139,532 is: 296,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674 : 139,532 = 139,532 : x
  2. Step 2: Convert to fraction form
    65,674/139,532 = 139,532/x
  3. Step 3: Cross multiply
    65,674x = 139,532 × 139,532
  4. Step 4: Simplify right side
    65,674x = 19,469,179,024
  5. Step 5: Solve for x
    x = 19,469,179,024/65,674
  6. Step 6: Final answer
    x = 296,451.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.