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Finding the Third Proportional to 101,993.25 and 168,557.25

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Solution

The third proportional to 101,993.25 and 168,557.25 is: 278,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993.25 : 168,557.25 = 168,557.25 : x
  2. Step 2: Convert to fraction form
    101,993.25/168,557.25 = 168,557.25/x
  3. Step 3: Cross multiply
    101,993.25x = 168,557.25 × 168,557.25
  4. Step 4: Simplify right side
    101,993.25x = 28,411,546,527.56
  5. Step 5: Solve for x
    x = 28,411,546,527.56/101,993.25
  6. Step 6: Final answer
    x = 278,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.