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Finding the Third Proportional to 53,525.81 and 116,584.31

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Solution

The third proportional to 53,525.81 and 116,584.31 is: 253,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,525.81 : 116,584.31 = 116,584.31 : x
  2. Step 2: Convert to fraction form
    53,525.81/116,584.31 = 116,584.31/x
  3. Step 3: Cross multiply
    53,525.81x = 116,584.31 × 116,584.31
  4. Step 4: Simplify right side
    53,525.81x = 13,591,901,921.10
  5. Step 5: Solve for x
    x = 13,591,901,921.10/53,525.81
  6. Step 6: Final answer
    x = 253,931.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.