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Finding the Third Proportional to 85,039 and 185,619

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Solution

The third proportional to 85,039 and 185,619 is: 405,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,039 : 185,619 = 185,619 : x
  2. Step 2: Convert to fraction form
    85,039/185,619 = 185,619/x
  3. Step 3: Cross multiply
    85,039x = 185,619 × 185,619
  4. Step 4: Simplify right side
    85,039x = 34,454,413,161
  5. Step 5: Solve for x
    x = 34,454,413,161/85,039
  6. Step 6: Final answer
    x = 405,160.14

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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.