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Finding the Third Proportional to 84,759.75 and 178,247.25

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Solution

The third proportional to 84,759.75 and 178,247.25 is: 374,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,759.75 : 178,247.25 = 178,247.25 : x
  2. Step 2: Convert to fraction form
    84,759.75/178,247.25 = 178,247.25/x
  3. Step 3: Cross multiply
    84,759.75x = 178,247.25 × 178,247.25
  4. Step 4: Simplify right side
    84,759.75x = 31,772,082,132.56
  5. Step 5: Solve for x
    x = 31,772,082,132.56/84,759.75
  6. Step 6: Final answer
    x = 374,848.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.