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Finding the Third Proportional to 81,627.75 and 173,036.25

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Solution

The third proportional to 81,627.75 and 173,036.25 is: 366,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,627.75 : 173,036.25 = 173,036.25 : x
  2. Step 2: Convert to fraction form
    81,627.75/173,036.25 = 173,036.25/x
  3. Step 3: Cross multiply
    81,627.75x = 173,036.25 × 173,036.25
  4. Step 4: Simplify right side
    81,627.75x = 29,941,543,814.06
  5. Step 5: Solve for x
    x = 29,941,543,814.06/81,627.75
  6. Step 6: Final answer
    x = 366,805.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.