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Finding the Third Proportional to 40,725.75 and 95,154.75

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Solution

The third proportional to 40,725.75 and 95,154.75 is: 222,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,725.75 : 95,154.75 = 95,154.75 : x
  2. Step 2: Convert to fraction form
    40,725.75/95,154.75 = 95,154.75/x
  3. Step 3: Cross multiply
    40,725.75x = 95,154.75 × 95,154.75
  4. Step 4: Simplify right side
    40,725.75x = 9,054,426,447.56
  5. Step 5: Solve for x
    x = 9,054,426,447.56/40,725.75
  6. Step 6: Final answer
    x = 222,326.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.