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Finding the Third Proportional to 46,767.75 and 106,019.75

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Solution

The third proportional to 46,767.75 and 106,019.75 is: 240,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767.75 : 106,019.75 = 106,019.75 : x
  2. Step 2: Convert to fraction form
    46,767.75/106,019.75 = 106,019.75/x
  3. Step 3: Cross multiply
    46,767.75x = 106,019.75 × 106,019.75
  4. Step 4: Simplify right side
    46,767.75x = 11,240,187,390.06
  5. Step 5: Solve for x
    x = 11,240,187,390.06/46,767.75
  6. Step 6: Final answer
    x = 240,340.56

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.