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Finding the Third Proportional to 85,837 and 185,828

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Solution

The third proportional to 85,837 and 185,828 is: 402,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,837 : 185,828 = 185,828 : x
  2. Step 2: Convert to fraction form
    85,837/185,828 = 185,828/x
  3. Step 3: Cross multiply
    85,837x = 185,828 × 185,828
  4. Step 4: Simplify right side
    85,837x = 34,532,045,584
  5. Step 5: Solve for x
    x = 34,532,045,584/85,837
  6. Step 6: Final answer
    x = 402,297.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.