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Finding the Third Proportional to 81,132.75 and 173,475

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Solution

The third proportional to 81,132.75 and 173,475 is: 370,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,132.75 : 173,475 = 173,475 : x
  2. Step 2: Convert to fraction form
    81,132.75/173,475 = 173,475/x
  3. Step 3: Cross multiply
    81,132.75x = 173,475 × 173,475
  4. Step 4: Simplify right side
    81,132.75x = 30,093,575,625
  5. Step 5: Solve for x
    x = 30,093,575,625/81,132.75
  6. Step 6: Final answer
    x = 370,917.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.