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Finding the Third Proportional to 94,575.75 and 140,523.75

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Solution

The third proportional to 94,575.75 and 140,523.75 is: 208,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,575.75 : 140,523.75 = 140,523.75 : x
  2. Step 2: Convert to fraction form
    94,575.75/140,523.75 = 140,523.75/x
  3. Step 3: Cross multiply
    94,575.75x = 140,523.75 × 140,523.75
  4. Step 4: Simplify right side
    94,575.75x = 19,746,924,314.06
  5. Step 5: Solve for x
    x = 19,746,924,314.06/94,575.75
  6. Step 6: Final answer
    x = 208,794.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.