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Finding the Third Proportional to 101,975.25 and 164,170.50

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Solution

The third proportional to 101,975.25 and 164,170.50 is: 264,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,975.25 : 164,170.50 = 164,170.50 : x
  2. Step 2: Convert to fraction form
    101,975.25/164,170.50 = 164,170.50/x
  3. Step 3: Cross multiply
    101,975.25x = 164,170.50 × 164,170.50
  4. Step 4: Simplify right side
    101,975.25x = 26,951,953,070.25
  5. Step 5: Solve for x
    x = 26,951,953,070.25/101,975.25
  6. Step 6: Final answer
    x = 264,298.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.