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Finding the Third Proportional to 53,703.75 and 111,819.75

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Solution

The third proportional to 53,703.75 and 111,819.75 is: 232,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.75 : 111,819.75 = 111,819.75 : x
  2. Step 2: Convert to fraction form
    53,703.75/111,819.75 = 111,819.75/x
  3. Step 3: Cross multiply
    53,703.75x = 111,819.75 × 111,819.75
  4. Step 4: Simplify right side
    53,703.75x = 12,503,656,490.06
  5. Step 5: Solve for x
    x = 12,503,656,490.06/53,703.75
  6. Step 6: Final answer
    x = 232,826.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.