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Finding the Third Proportional to 53,740.97 and 116,241.33

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Solution

The third proportional to 53,740.97 and 116,241.33 is: 251,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,740.97 : 116,241.33 = 116,241.33 : x
  2. Step 2: Convert to fraction form
    53,740.97/116,241.33 = 116,241.33/x
  3. Step 3: Cross multiply
    53,740.97x = 116,241.33 × 116,241.33
  4. Step 4: Simplify right side
    53,740.97x = 13,512,046,364.26
  5. Step 5: Solve for x
    x = 13,512,046,364.26/53,740.97
  6. Step 6: Final answer
    x = 251,429.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.