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Finding the Third Proportional to 137,716.88 and 194,955.19

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Solution

The third proportional to 137,716.88 and 194,955.19 is: 275,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.88 : 194,955.19 = 194,955.19 : x
  2. Step 2: Convert to fraction form
    137,716.88/194,955.19 = 194,955.19/x
  3. Step 3: Cross multiply
    137,716.88x = 194,955.19 × 194,955.19
  4. Step 4: Simplify right side
    137,716.88x = 38,007,525,133.16
  5. Step 5: Solve for x
    x = 38,007,525,133.16/137,716.88
  6. Step 6: Final answer
    x = 275,983.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.