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Finding the Third Proportional to 94,476.75 and 146,279.25

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Solution

The third proportional to 94,476.75 and 146,279.25 is: 226,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,476.75 : 146,279.25 = 146,279.25 : x
  2. Step 2: Convert to fraction form
    94,476.75/146,279.25 = 146,279.25/x
  3. Step 3: Cross multiply
    94,476.75x = 146,279.25 × 146,279.25
  4. Step 4: Simplify right side
    94,476.75x = 21,397,618,980.56
  5. Step 5: Solve for x
    x = 21,397,618,980.56/94,476.75
  6. Step 6: Final answer
    x = 226,485.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.