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Finding the Third Proportional to 70,724 and 161,274

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Solution

The third proportional to 70,724 and 161,274 is: 367,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,724 : 161,274 = 161,274 : x
  2. Step 2: Convert to fraction form
    70,724/161,274 = 161,274/x
  3. Step 3: Cross multiply
    70,724x = 161,274 × 161,274
  4. Step 4: Simplify right side
    70,724x = 26,009,303,076
  5. Step 5: Solve for x
    x = 26,009,303,076/70,724
  6. Step 6: Final answer
    x = 367,757.81

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.