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Finding the Third Proportional to 72,357 and 155,096

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Solution

The third proportional to 72,357 and 155,096 is: 332,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,357 : 155,096 = 155,096 : x
  2. Step 2: Convert to fraction form
    72,357/155,096 = 155,096/x
  3. Step 3: Cross multiply
    72,357x = 155,096 × 155,096
  4. Step 4: Simplify right side
    72,357x = 24,054,769,216
  5. Step 5: Solve for x
    x = 24,054,769,216/72,357
  6. Step 6: Final answer
    x = 332,445.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.