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Finding the Third Proportional to 53,784 and 115,485.75

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Solution

The third proportional to 53,784 and 115,485.75 is: 247,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784 : 115,485.75 = 115,485.75 : x
  2. Step 2: Convert to fraction form
    53,784/115,485.75 = 115,485.75/x
  3. Step 3: Cross multiply
    53,784x = 115,485.75 × 115,485.75
  4. Step 4: Simplify right side
    53,784x = 13,336,958,453.06
  5. Step 5: Solve for x
    x = 13,336,958,453.06/53,784
  6. Step 6: Final answer
    x = 247,972.60

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Why These Related Problems?

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