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Finding the Third Proportional to 65,452 and 136,736

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Solution

The third proportional to 65,452 and 136,736 is: 285,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452 : 136,736 = 136,736 : x
  2. Step 2: Convert to fraction form
    65,452/136,736 = 136,736/x
  3. Step 3: Cross multiply
    65,452x = 136,736 × 136,736
  4. Step 4: Simplify right side
    65,452x = 18,696,733,696
  5. Step 5: Solve for x
    x = 18,696,733,696/65,452
  6. Step 6: Final answer
    x = 285,655.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.