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Finding the Third Proportional to 82,725.75 and 110,936.25

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Solution

The third proportional to 82,725.75 and 110,936.25 is: 148,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,725.75 : 110,936.25 = 110,936.25 : x
  2. Step 2: Convert to fraction form
    82,725.75/110,936.25 = 110,936.25/x
  3. Step 3: Cross multiply
    82,725.75x = 110,936.25 × 110,936.25
  4. Step 4: Simplify right side
    82,725.75x = 12,306,851,564.06
  5. Step 5: Solve for x
    x = 12,306,851,564.06/82,725.75
  6. Step 6: Final answer
    x = 148,766.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.