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Finding the Third Proportional to 53,659.97 and 116,546.34

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Solution

The third proportional to 53,659.97 and 116,546.34 is: 253,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,659.97 : 116,546.34 = 116,546.34 : x
  2. Step 2: Convert to fraction form
    53,659.97/116,546.34 = 116,546.34/x
  3. Step 3: Cross multiply
    53,659.97x = 116,546.34 × 116,546.34
  4. Step 4: Simplify right side
    53,659.97x = 13,583,050,241.49
  5. Step 5: Solve for x
    x = 13,583,050,241.49/53,659.97
  6. Step 6: Final answer
    x = 253,131.91

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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.