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Finding the Third Proportional to 76,212.75 and 175,285.88

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Solution

The third proportional to 76,212.75 and 175,285.88 is: 403,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212.75 : 175,285.88 = 175,285.88 : x
  2. Step 2: Convert to fraction form
    76,212.75/175,285.88 = 175,285.88/x
  3. Step 3: Cross multiply
    76,212.75x = 175,285.88 × 175,285.88
  4. Step 4: Simplify right side
    76,212.75x = 30,725,137,974.52
  5. Step 5: Solve for x
    x = 30,725,137,974.52/76,212.75
  6. Step 6: Final answer
    x = 403,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.