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Finding the Third Proportional to 36,096 and 78,240

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Solution

The third proportional to 36,096 and 78,240 is: 169,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096 : 78,240 = 78,240 : x
  2. Step 2: Convert to fraction form
    36,096/78,240 = 78,240/x
  3. Step 3: Cross multiply
    36,096x = 78,240 × 78,240
  4. Step 4: Simplify right side
    36,096x = 6,121,497,600
  5. Step 5: Solve for x
    x = 6,121,497,600/36,096
  6. Step 6: Final answer
    x = 169,589.36

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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.