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Finding the Third Proportional to 65,936 and 136,480

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Solution

The third proportional to 65,936 and 136,480 is: 282,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936 : 136,480 = 136,480 : x
  2. Step 2: Convert to fraction form
    65,936/136,480 = 136,480/x
  3. Step 3: Cross multiply
    65,936x = 136,480 × 136,480
  4. Step 4: Simplify right side
    65,936x = 18,626,790,400
  5. Step 5: Solve for x
    x = 18,626,790,400/65,936
  6. Step 6: Final answer
    x = 282,498.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.