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Finding the Third Proportional to 57,727 and 92,216

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Solution

The third proportional to 57,727 and 92,216 is: 147,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,727 : 92,216 = 92,216 : x
  2. Step 2: Convert to fraction form
    57,727/92,216 = 92,216/x
  3. Step 3: Cross multiply
    57,727x = 92,216 × 92,216
  4. Step 4: Simplify right side
    57,727x = 8,503,790,656
  5. Step 5: Solve for x
    x = 8,503,790,656/57,727
  6. Step 6: Final answer
    x = 147,310.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.