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Finding the Third Proportional to 49,009 and 106,315.75

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Solution

The third proportional to 49,009 and 106,315.75 is: 230,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,009 : 106,315.75 = 106,315.75 : x
  2. Step 2: Convert to fraction form
    49,009/106,315.75 = 106,315.75/x
  3. Step 3: Cross multiply
    49,009x = 106,315.75 × 106,315.75
  4. Step 4: Simplify right side
    49,009x = 11,303,038,698.06
  5. Step 5: Solve for x
    x = 11,303,038,698.06/49,009
  6. Step 6: Final answer
    x = 230,631.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.