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Finding the Third Proportional to 95,757 and 205,729.50

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Solution

The third proportional to 95,757 and 205,729.50 is: 442,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,757 : 205,729.50 = 205,729.50 : x
  2. Step 2: Convert to fraction form
    95,757/205,729.50 = 205,729.50/x
  3. Step 3: Cross multiply
    95,757x = 205,729.50 × 205,729.50
  4. Step 4: Simplify right side
    95,757x = 42,324,627,170.25
  5. Step 5: Solve for x
    x = 42,324,627,170.25/95,757
  6. Step 6: Final answer
    x = 442,000.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.