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Finding the Third Proportional to 52,009 and 106,482.75

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Solution

The third proportional to 52,009 and 106,482.75 is: 218,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,009 : 106,482.75 = 106,482.75 : x
  2. Step 2: Convert to fraction form
    52,009/106,482.75 = 106,482.75/x
  3. Step 3: Cross multiply
    52,009x = 106,482.75 × 106,482.75
  4. Step 4: Simplify right side
    52,009x = 11,338,576,047.56
  5. Step 5: Solve for x
    x = 11,338,576,047.56/52,009
  6. Step 6: Final answer
    x = 218,011.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.