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Finding the Third Proportional to 84,200 and 185,104

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Solution

The third proportional to 84,200 and 185,104 is: 406,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200 : 185,104 = 185,104 : x
  2. Step 2: Convert to fraction form
    84,200/185,104 = 185,104/x
  3. Step 3: Cross multiply
    84,200x = 185,104 × 185,104
  4. Step 4: Simplify right side
    84,200x = 34,263,490,816
  5. Step 5: Solve for x
    x = 34,263,490,816/84,200
  6. Step 6: Final answer
    x = 406,929.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.