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Finding the Third Proportional to 57,724 and 92,215

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Solution

The third proportional to 57,724 and 92,215 is: 147,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724 : 92,215 = 92,215 : x
  2. Step 2: Convert to fraction form
    57,724/92,215 = 92,215/x
  3. Step 3: Cross multiply
    57,724x = 92,215 × 92,215
  4. Step 4: Simplify right side
    57,724x = 8,503,606,225
  5. Step 5: Solve for x
    x = 8,503,606,225/57,724
  6. Step 6: Final answer
    x = 147,314.92

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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.