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Finding the Third Proportional to 101,052.25 and 168,410.38

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Solution

The third proportional to 101,052.25 and 168,410.38 is: 280,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,052.25 : 168,410.38 = 168,410.38 : x
  2. Step 2: Convert to fraction form
    101,052.25/168,410.38 = 168,410.38/x
  3. Step 3: Cross multiply
    101,052.25x = 168,410.38 × 168,410.38
  4. Step 4: Simplify right side
    101,052.25x = 28,362,054,407.64
  5. Step 5: Solve for x
    x = 28,362,054,407.64/101,052.25
  6. Step 6: Final answer
    x = 280,667.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.