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Finding the Third Proportional to 70,097 and 154,213

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Solution

The third proportional to 70,097 and 154,213 is: 339,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,097 : 154,213 = 154,213 : x
  2. Step 2: Convert to fraction form
    70,097/154,213 = 154,213/x
  3. Step 3: Cross multiply
    70,097x = 154,213 × 154,213
  4. Step 4: Simplify right side
    70,097x = 23,781,649,369
  5. Step 5: Solve for x
    x = 23,781,649,369/70,097
  6. Step 6: Final answer
    x = 339,267.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.