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Finding the Third Proportional to 46,355.25 and 107,838.75

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Solution

The third proportional to 46,355.25 and 107,838.75 is: 250,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,355.25 : 107,838.75 = 107,838.75 : x
  2. Step 2: Convert to fraction form
    46,355.25/107,838.75 = 107,838.75/x
  3. Step 3: Cross multiply
    46,355.25x = 107,838.75 × 107,838.75
  4. Step 4: Simplify right side
    46,355.25x = 11,629,196,001.56
  5. Step 5: Solve for x
    x = 11,629,196,001.56/46,355.25
  6. Step 6: Final answer
    x = 250,871.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.