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Finding the Third Proportional to 84,976 and 135,004

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Solution

The third proportional to 84,976 and 135,004 is: 214,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,976 : 135,004 = 135,004 : x
  2. Step 2: Convert to fraction form
    84,976/135,004 = 135,004/x
  3. Step 3: Cross multiply
    84,976x = 135,004 × 135,004
  4. Step 4: Simplify right side
    84,976x = 18,226,080,016
  5. Step 5: Solve for x
    x = 18,226,080,016/84,976
  6. Step 6: Final answer
    x = 214,485.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.