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Finding the Third Proportional to 53,550.56 and 116,319.66

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Solution

The third proportional to 53,550.56 and 116,319.66 is: 252,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,550.56 : 116,319.66 = 116,319.66 : x
  2. Step 2: Convert to fraction form
    53,550.56/116,319.66 = 116,319.66/x
  3. Step 3: Cross multiply
    53,550.56x = 116,319.66 × 116,319.66
  4. Step 4: Simplify right side
    53,550.56x = 13,530,262,430.12
  5. Step 5: Solve for x
    x = 13,530,262,430.12/53,550.56
  6. Step 6: Final answer
    x = 252,663.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.