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Finding the Third Proportional to 65,674 and 142,356

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Solution

The third proportional to 65,674 and 142,356 is: 308,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,674 : 142,356 = 142,356 : x
  2. Step 2: Convert to fraction form
    65,674/142,356 = 142,356/x
  3. Step 3: Cross multiply
    65,674x = 142,356 × 142,356
  4. Step 4: Simplify right side
    65,674x = 20,265,230,736
  5. Step 5: Solve for x
    x = 20,265,230,736/65,674
  6. Step 6: Final answer
    x = 308,573.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.