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Finding the Third Proportional to 107,007.75 and 165,920.63

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Solution

The third proportional to 107,007.75 and 165,920.63 is: 257,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,007.75 : 165,920.63 = 165,920.63 : x
  2. Step 2: Convert to fraction form
    107,007.75/165,920.63 = 165,920.63/x
  3. Step 3: Cross multiply
    107,007.75x = 165,920.63 × 165,920.63
  4. Step 4: Simplify right side
    107,007.75x = 27,529,653,800.39
  5. Step 5: Solve for x
    x = 27,529,653,800.39/107,007.75
  6. Step 6: Final answer
    x = 257,267.85

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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.