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Finding the Third Proportional to 84,165.75 and 180,002.25

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Solution

The third proportional to 84,165.75 and 180,002.25 is: 384,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,165.75 : 180,002.25 = 180,002.25 : x
  2. Step 2: Convert to fraction form
    84,165.75/180,002.25 = 180,002.25/x
  3. Step 3: Cross multiply
    84,165.75x = 180,002.25 × 180,002.25
  4. Step 4: Simplify right side
    84,165.75x = 32,400,810,005.06
  5. Step 5: Solve for x
    x = 32,400,810,005.06/84,165.75
  6. Step 6: Final answer
    x = 384,964.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.