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Finding the Third Proportional to 85,092.19 and 185,765.06

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Solution

The third proportional to 85,092.19 and 185,765.06 is: 405,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092.19 : 185,765.06 = 185,765.06 : x
  2. Step 2: Convert to fraction form
    85,092.19/185,765.06 = 185,765.06/x
  3. Step 3: Cross multiply
    85,092.19x = 185,765.06 × 185,765.06
  4. Step 4: Simplify right side
    85,092.19x = 34,508,658,445.63
  5. Step 5: Solve for x
    x = 34,508,658,445.63/85,092.19
  6. Step 6: Final answer
    x = 405,544.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.