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Finding the Third Proportional to 136,275.75 and 194,649.75

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Solution

The third proportional to 136,275.75 and 194,649.75 is: 278,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275.75 : 194,649.75 = 194,649.75 : x
  2. Step 2: Convert to fraction form
    136,275.75/194,649.75 = 194,649.75/x
  3. Step 3: Cross multiply
    136,275.75x = 194,649.75 × 194,649.75
  4. Step 4: Simplify right side
    136,275.75x = 37,888,525,175.06
  5. Step 5: Solve for x
    x = 37,888,525,175.06/136,275.75
  6. Step 6: Final answer
    x = 278,028.37

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