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Finding the Third Proportional to 72,096 and 96,439

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Solution

The third proportional to 72,096 and 96,439 is: 129,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096 : 96,439 = 96,439 : x
  2. Step 2: Convert to fraction form
    72,096/96,439 = 96,439/x
  3. Step 3: Cross multiply
    72,096x = 96,439 × 96,439
  4. Step 4: Simplify right side
    72,096x = 9,300,480,721
  5. Step 5: Solve for x
    x = 9,300,480,721/72,096
  6. Step 6: Final answer
    x = 129,001.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.