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Finding the Third Proportional to 121,736.25 and 265,615.88

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Solution

The third proportional to 121,736.25 and 265,615.88 is: 579,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,736.25 : 265,615.88 = 265,615.88 : x
  2. Step 2: Convert to fraction form
    121,736.25/265,615.88 = 265,615.88/x
  3. Step 3: Cross multiply
    121,736.25x = 265,615.88 × 265,615.88
  4. Step 4: Simplify right side
    121,736.25x = 70,551,793,052.02
  5. Step 5: Solve for x
    x = 70,551,793,052.02/121,736.25
  6. Step 6: Final answer
    x = 579,546.30

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Why These Related Problems?

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