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Finding the Third Proportional to 111,330 and 164,905

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Solution

The third proportional to 111,330 and 164,905 is: 244,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,330 : 164,905 = 164,905 : x
  2. Step 2: Convert to fraction form
    111,330/164,905 = 164,905/x
  3. Step 3: Cross multiply
    111,330x = 164,905 × 164,905
  4. Step 4: Simplify right side
    111,330x = 27,193,659,025
  5. Step 5: Solve for x
    x = 27,193,659,025/111,330
  6. Step 6: Final answer
    x = 244,261.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.