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Finding the Third Proportional to 105,858.75 and 164,620.13

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Solution

The third proportional to 105,858.75 and 164,620.13 is: 255,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,858.75 : 164,620.13 = 164,620.13 : x
  2. Step 2: Convert to fraction form
    105,858.75/164,620.13 = 164,620.13/x
  3. Step 3: Cross multiply
    105,858.75x = 164,620.13 × 164,620.13
  4. Step 4: Simplify right side
    105,858.75x = 27,099,785,555.02
  5. Step 5: Solve for x
    x = 27,099,785,555.02/105,858.75
  6. Step 6: Final answer
    x = 255,999.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.