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Finding the Third Proportional to 45,429.75 and 106,115.63

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Solution

The third proportional to 45,429.75 and 106,115.63 is: 247,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,429.75 : 106,115.63 = 106,115.63 : x
  2. Step 2: Convert to fraction form
    45,429.75/106,115.63 = 106,115.63/x
  3. Step 3: Cross multiply
    45,429.75x = 106,115.63 × 106,115.63
  4. Step 4: Simplify right side
    45,429.75x = 11,260,525,869.14
  5. Step 5: Solve for x
    x = 11,260,525,869.14/45,429.75
  6. Step 6: Final answer
    x = 247,866.78

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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.