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Finding the Third Proportional to 53,703.75 and 115,728.75

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Solution

The third proportional to 53,703.75 and 115,728.75 is: 249,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.75 : 115,728.75 = 115,728.75 : x
  2. Step 2: Convert to fraction form
    53,703.75/115,728.75 = 115,728.75/x
  3. Step 3: Cross multiply
    53,703.75x = 115,728.75 × 115,728.75
  4. Step 4: Simplify right side
    53,703.75x = 13,393,143,576.56
  5. Step 5: Solve for x
    x = 13,393,143,576.56/53,703.75
  6. Step 6: Final answer
    x = 249,389.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.