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Finding the Third Proportional to 85,041 and 186,194.25

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Solution

The third proportional to 85,041 and 186,194.25 is: 407,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,041 : 186,194.25 = 186,194.25 : x
  2. Step 2: Convert to fraction form
    85,041/186,194.25 = 186,194.25/x
  3. Step 3: Cross multiply
    85,041x = 186,194.25 × 186,194.25
  4. Step 4: Simplify right side
    85,041x = 34,668,298,733.06
  5. Step 5: Solve for x
    x = 34,668,298,733.06/85,041
  6. Step 6: Final answer
    x = 407,665.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.