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Finding the Third Proportional to 57,726 and 92,218

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Solution

The third proportional to 57,726 and 92,218 is: 147,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726 : 92,218 = 92,218 : x
  2. Step 2: Convert to fraction form
    57,726/92,218 = 92,218/x
  3. Step 3: Cross multiply
    57,726x = 92,218 × 92,218
  4. Step 4: Simplify right side
    57,726x = 8,504,159,524
  5. Step 5: Solve for x
    x = 8,504,159,524/57,726
  6. Step 6: Final answer
    x = 147,319.40

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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.