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Finding the Third Proportional to 72,096 and 154,155

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Solution

The third proportional to 72,096 and 154,155 is: 329,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096 : 154,155 = 154,155 : x
  2. Step 2: Convert to fraction form
    72,096/154,155 = 154,155/x
  3. Step 3: Cross multiply
    72,096x = 154,155 × 154,155
  4. Step 4: Simplify right side
    72,096x = 23,763,764,025
  5. Step 5: Solve for x
    x = 23,763,764,025/72,096
  6. Step 6: Final answer
    x = 329,612.79

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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.