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Finding the Third Proportional to 65,794 and 144,083

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Solution

The third proportional to 65,794 and 144,083 is: 315,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794 : 144,083 = 144,083 : x
  2. Step 2: Convert to fraction form
    65,794/144,083 = 144,083/x
  3. Step 3: Cross multiply
    65,794x = 144,083 × 144,083
  4. Step 4: Simplify right side
    65,794x = 20,759,910,889
  5. Step 5: Solve for x
    x = 20,759,910,889/65,794
  6. Step 6: Final answer
    x = 315,528.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.