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Finding the Third Proportional to 92,197.50 and 187,779

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Solution

The third proportional to 92,197.50 and 187,779 is: 382,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,197.50 : 187,779 = 187,779 : x
  2. Step 2: Convert to fraction form
    92,197.50/187,779 = 187,779/x
  3. Step 3: Cross multiply
    92,197.50x = 187,779 × 187,779
  4. Step 4: Simplify right side
    92,197.50x = 35,260,952,841
  5. Step 5: Solve for x
    x = 35,260,952,841/92,197.50
  6. Step 6: Final answer
    x = 382,450.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.