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Finding the Third Proportional to 43,200 and 92,387.25

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Solution

The third proportional to 43,200 and 92,387.25 is: 197,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,200 : 92,387.25 = 92,387.25 : x
  2. Step 2: Convert to fraction form
    43,200/92,387.25 = 92,387.25/x
  3. Step 3: Cross multiply
    43,200x = 92,387.25 × 92,387.25
  4. Step 4: Simplify right side
    43,200x = 8,535,403,962.56
  5. Step 5: Solve for x
    x = 8,535,403,962.56/43,200
  6. Step 6: Final answer
    x = 197,578.80

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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.