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Finding the Third Proportional to 107,624.25 and 150,464.25

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Solution

The third proportional to 107,624.25 and 150,464.25 is: 210,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,624.25 : 150,464.25 = 150,464.25 : x
  2. Step 2: Convert to fraction form
    107,624.25/150,464.25 = 150,464.25/x
  3. Step 3: Cross multiply
    107,624.25x = 150,464.25 × 150,464.25
  4. Step 4: Simplify right side
    107,624.25x = 22,639,490,528.06
  5. Step 5: Solve for x
    x = 22,639,490,528.06/107,624.25
  6. Step 6: Final answer
    x = 210,356.78

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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.