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Finding the Third Proportional to 85,596.75 and 183,064.43

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Solution

The third proportional to 85,596.75 and 183,064.43 is: 391,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596.75 : 183,064.43 = 183,064.43 : x
  2. Step 2: Convert to fraction form
    85,596.75/183,064.43 = 183,064.43/x
  3. Step 3: Cross multiply
    85,596.75x = 183,064.43 × 183,064.43
  4. Step 4: Simplify right side
    85,596.75x = 33,512,585,416.81
  5. Step 5: Solve for x
    x = 33,512,585,416.81/85,596.75
  6. Step 6: Final answer
    x = 391,517.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.