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Finding the Third Proportional to 72,096 and 106,272

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Solution

The third proportional to 72,096 and 106,272 is: 156,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096 : 106,272 = 106,272 : x
  2. Step 2: Convert to fraction form
    72,096/106,272 = 106,272/x
  3. Step 3: Cross multiply
    72,096x = 106,272 × 106,272
  4. Step 4: Simplify right side
    72,096x = 11,293,737,984
  5. Step 5: Solve for x
    x = 11,293,737,984/72,096
  6. Step 6: Final answer
    x = 156,648.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.