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Finding the Third Proportional to 51,961.50 and 115,809.75

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Solution

The third proportional to 51,961.50 and 115,809.75 is: 258,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961.50 : 115,809.75 = 115,809.75 : x
  2. Step 2: Convert to fraction form
    51,961.50/115,809.75 = 115,809.75/x
  3. Step 3: Cross multiply
    51,961.50x = 115,809.75 × 115,809.75
  4. Step 4: Simplify right side
    51,961.50x = 13,411,898,195.06
  5. Step 5: Solve for x
    x = 13,411,898,195.06/51,961.50
  6. Step 6: Final answer
    x = 258,112.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.