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Finding the Third Proportional to 78,185.25 and 171,132.75

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Solution

The third proportional to 78,185.25 and 171,132.75 is: 374,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.25 : 171,132.75 = 171,132.75 : x
  2. Step 2: Convert to fraction form
    78,185.25/171,132.75 = 171,132.75/x
  3. Step 3: Cross multiply
    78,185.25x = 171,132.75 × 171,132.75
  4. Step 4: Simplify right side
    78,185.25x = 29,286,418,122.56
  5. Step 5: Solve for x
    x = 29,286,418,122.56/78,185.25
  6. Step 6: Final answer
    x = 374,577.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.