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Finding the Third Proportional to 84,024 and 126,036

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Solution

The third proportional to 84,024 and 126,036 is: 189,054

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 126,036 = 126,036 : x
  2. Step 2: Convert to fraction form
    84,024/126,036 = 126,036/x
  3. Step 3: Cross multiply
    84,024x = 126,036 × 126,036
  4. Step 4: Simplify right side
    84,024x = 15,885,073,296
  5. Step 5: Solve for x
    x = 15,885,073,296/84,024
  6. Step 6: Final answer
    x = 189,054

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.