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Finding the Third Proportional to 137,315.25 and 195,986.25

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Solution

The third proportional to 137,315.25 and 195,986.25 is: 279,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.25 : 195,986.25 = 195,986.25 : x
  2. Step 2: Convert to fraction form
    137,315.25/195,986.25 = 195,986.25/x
  3. Step 3: Cross multiply
    137,315.25x = 195,986.25 × 195,986.25
  4. Step 4: Simplify right side
    137,315.25x = 38,410,610,189.06
  5. Step 5: Solve for x
    x = 38,410,610,189.06/137,315.25
  6. Step 6: Final answer
    x = 279,725.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.