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Finding the Third Proportional to 125,080.88 and 193,969.69

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Solution

The third proportional to 125,080.88 and 193,969.69 is: 300,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,080.88 : 193,969.69 = 193,969.69 : x
  2. Step 2: Convert to fraction form
    125,080.88/193,969.69 = 193,969.69/x
  3. Step 3: Cross multiply
    125,080.88x = 193,969.69 × 193,969.69
  4. Step 4: Simplify right side
    125,080.88x = 37,624,239,668.85
  5. Step 5: Solve for x
    x = 37,624,239,668.85/125,080.88
  6. Step 6: Final answer
    x = 300,799.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.