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Finding the Third Proportional to 107,564.63 and 150,396.75

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Solution

The third proportional to 107,564.63 and 150,396.75 is: 210,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,564.63 : 150,396.75 = 150,396.75 : x
  2. Step 2: Convert to fraction form
    107,564.63/150,396.75 = 150,396.75/x
  3. Step 3: Cross multiply
    107,564.63x = 150,396.75 × 150,396.75
  4. Step 4: Simplify right side
    107,564.63x = 22,619,182,410.56
  5. Step 5: Solve for x
    x = 22,619,182,410.56/107,564.63
  6. Step 6: Final answer
    x = 210,284.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.