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Finding the Third Proportional to 53,095.50 and 104,820.75

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Solution

The third proportional to 53,095.50 and 104,820.75 is: 206,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.50 : 104,820.75 = 104,820.75 : x
  2. Step 2: Convert to fraction form
    53,095.50/104,820.75 = 104,820.75/x
  3. Step 3: Cross multiply
    53,095.50x = 104,820.75 × 104,820.75
  4. Step 4: Simplify right side
    53,095.50x = 10,987,389,630.56
  5. Step 5: Solve for x
    x = 10,987,389,630.56/53,095.50
  6. Step 6: Final answer
    x = 206,936.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.