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Finding the Third Proportional to 107,451.94 and 165,688.69

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Solution

The third proportional to 107,451.94 and 165,688.69 is: 255,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,451.94 : 165,688.69 = 165,688.69 : x
  2. Step 2: Convert to fraction form
    107,451.94/165,688.69 = 165,688.69/x
  3. Step 3: Cross multiply
    107,451.94x = 165,688.69 × 165,688.69
  4. Step 4: Simplify right side
    107,451.94x = 27,452,741,165.47
  5. Step 5: Solve for x
    x = 27,452,741,165.47/107,451.94
  6. Step 6: Final answer
    x = 255,488.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.