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Finding the Third Proportional to 75,291.19 and 100,375.03

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Solution

The third proportional to 75,291.19 and 100,375.03 is: 133,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291.19 : 100,375.03 = 100,375.03 : x
  2. Step 2: Convert to fraction form
    75,291.19/100,375.03 = 100,375.03/x
  3. Step 3: Cross multiply
    75,291.19x = 100,375.03 × 100,375.03
  4. Step 4: Simplify right side
    75,291.19x = 10,075,146,898.44
  5. Step 5: Solve for x
    x = 10,075,146,898.44/75,291.19
  6. Step 6: Final answer
    x = 133,815.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.