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Finding the Third Proportional to 45,438.75 and 106,137

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Solution

The third proportional to 45,438.75 and 106,137 is: 247,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438.75 : 106,137 = 106,137 : x
  2. Step 2: Convert to fraction form
    45,438.75/106,137 = 106,137/x
  3. Step 3: Cross multiply
    45,438.75x = 106,137 × 106,137
  4. Step 4: Simplify right side
    45,438.75x = 11,265,062,769
  5. Step 5: Solve for x
    x = 11,265,062,769/45,438.75
  6. Step 6: Final answer
    x = 247,917.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.