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Finding the Third Proportional to 36,096 and 78,336

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Solution

The third proportional to 36,096 and 78,336 is: 170,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,096 : 78,336 = 78,336 : x
  2. Step 2: Convert to fraction form
    36,096/78,336 = 78,336/x
  3. Step 3: Cross multiply
    36,096x = 78,336 × 78,336
  4. Step 4: Simplify right side
    36,096x = 6,136,528,896
  5. Step 5: Solve for x
    x = 6,136,528,896/36,096
  6. Step 6: Final answer
    x = 170,005.79

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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.