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Finding the Third Proportional to 54,027 and 84,321

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Solution

The third proportional to 54,027 and 84,321 is: 131,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,027 : 84,321 = 84,321 : x
  2. Step 2: Convert to fraction form
    54,027/84,321 = 84,321/x
  3. Step 3: Cross multiply
    54,027x = 84,321 × 84,321
  4. Step 4: Simplify right side
    54,027x = 7,110,031,041
  5. Step 5: Solve for x
    x = 7,110,031,041/54,027
  6. Step 6: Final answer
    x = 131,601.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.