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Finding the Third Proportional to 71,836.88 and 156,795.75

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Solution

The third proportional to 71,836.88 and 156,795.75 is: 342,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836.88 : 156,795.75 = 156,795.75 : x
  2. Step 2: Convert to fraction form
    71,836.88/156,795.75 = 156,795.75/x
  3. Step 3: Cross multiply
    71,836.88x = 156,795.75 × 156,795.75
  4. Step 4: Simplify right side
    71,836.88x = 24,584,907,218.06
  5. Step 5: Solve for x
    x = 24,584,907,218.06/71,836.88
  6. Step 6: Final answer
    x = 342,232.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.