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Finding the Third Proportional to 84,782.50 and 179,015

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Solution

The third proportional to 84,782.50 and 179,015 is: 377,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,782.50 : 179,015 = 179,015 : x
  2. Step 2: Convert to fraction form
    84,782.50/179,015 = 179,015/x
  3. Step 3: Cross multiply
    84,782.50x = 179,015 × 179,015
  4. Step 4: Simplify right side
    84,782.50x = 32,046,370,225
  5. Step 5: Solve for x
    x = 32,046,370,225/84,782.50
  6. Step 6: Final answer
    x = 377,983.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.