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Finding the Third Proportional to 84,134.25 and 178,656.75

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Solution

The third proportional to 84,134.25 and 178,656.75 is: 379,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.25 : 178,656.75 = 178,656.75 : x
  2. Step 2: Convert to fraction form
    84,134.25/178,656.75 = 178,656.75/x
  3. Step 3: Cross multiply
    84,134.25x = 178,656.75 × 178,656.75
  4. Step 4: Simplify right side
    84,134.25x = 31,918,234,320.56
  5. Step 5: Solve for x
    x = 31,918,234,320.56/84,134.25
  6. Step 6: Final answer
    x = 379,372.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.