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Finding the Third Proportional to 53,551.69 and 116,322.19

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Solution

The third proportional to 53,551.69 and 116,322.19 is: 252,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,551.69 : 116,322.19 = 116,322.19 : x
  2. Step 2: Convert to fraction form
    53,551.69/116,322.19 = 116,322.19/x
  3. Step 3: Cross multiply
    53,551.69x = 116,322.19 × 116,322.19
  4. Step 4: Simplify right side
    53,551.69x = 13,530,851,304.79
  5. Step 5: Solve for x
    x = 13,530,851,304.79/53,551.69
  6. Step 6: Final answer
    x = 252,669.00

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