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Finding the Third Proportional to 68,195.25 and 145,865.25

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Solution

The third proportional to 68,195.25 and 145,865.25 is: 311,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,195.25 : 145,865.25 = 145,865.25 : x
  2. Step 2: Convert to fraction form
    68,195.25/145,865.25 = 145,865.25/x
  3. Step 3: Cross multiply
    68,195.25x = 145,865.25 × 145,865.25
  4. Step 4: Simplify right side
    68,195.25x = 21,276,671,157.56
  5. Step 5: Solve for x
    x = 21,276,671,157.56/68,195.25
  6. Step 6: Final answer
    x = 311,996.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.