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Finding the Third Proportional to 53,203.50 and 113,514.75

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Solution

The third proportional to 53,203.50 and 113,514.75 is: 242,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,203.50 : 113,514.75 = 113,514.75 : x
  2. Step 2: Convert to fraction form
    53,203.50/113,514.75 = 113,514.75/x
  3. Step 3: Cross multiply
    53,203.50x = 113,514.75 × 113,514.75
  4. Step 4: Simplify right side
    53,203.50x = 12,885,598,467.56
  5. Step 5: Solve for x
    x = 12,885,598,467.56/53,203.50
  6. Step 6: Final answer
    x = 242,194.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.