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Finding the Third Proportional to 57,821 and 92,442

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Solution

The third proportional to 57,821 and 92,442 is: 147,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,821 : 92,442 = 92,442 : x
  2. Step 2: Convert to fraction form
    57,821/92,442 = 92,442/x
  3. Step 3: Cross multiply
    57,821x = 92,442 × 92,442
  4. Step 4: Simplify right side
    57,821x = 8,545,523,364
  5. Step 5: Solve for x
    x = 8,545,523,364/57,821
  6. Step 6: Final answer
    x = 147,792.73

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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.