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Finding the Third Proportional to 43,257.75 and 92,985

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Solution

The third proportional to 43,257.75 and 92,985 is: 199,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,257.75 : 92,985 = 92,985 : x
  2. Step 2: Convert to fraction form
    43,257.75/92,985 = 92,985/x
  3. Step 3: Cross multiply
    43,257.75x = 92,985 × 92,985
  4. Step 4: Simplify right side
    43,257.75x = 8,646,210,225
  5. Step 5: Solve for x
    x = 8,646,210,225/43,257.75
  6. Step 6: Final answer
    x = 199,876.56

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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.