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Finding the Third Proportional to 125,296.88 and 194,232.94

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Solution

The third proportional to 125,296.88 and 194,232.94 is: 301,096.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296.88 : 194,232.94 = 194,232.94 : x
  2. Step 2: Convert to fraction form
    125,296.88/194,232.94 = 194,232.94/x
  3. Step 3: Cross multiply
    125,296.88x = 194,232.94 × 194,232.94
  4. Step 4: Simplify right side
    125,296.88x = 37,726,434,009.88
  5. Step 5: Solve for x
    x = 37,726,434,009.88/125,296.88
  6. Step 6: Final answer
    x = 301,096.37

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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.