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Finding the Third Proportional to 85,810 and 179,828

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Solution

The third proportional to 85,810 and 179,828 is: 376,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,810 : 179,828 = 179,828 : x
  2. Step 2: Convert to fraction form
    85,810/179,828 = 179,828/x
  3. Step 3: Cross multiply
    85,810x = 179,828 × 179,828
  4. Step 4: Simplify right side
    85,810x = 32,338,109,584
  5. Step 5: Solve for x
    x = 32,338,109,584/85,810
  6. Step 6: Final answer
    x = 376,857.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.