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Finding the Third Proportional to 57,462 and 85,847

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Solution

The third proportional to 57,462 and 85,847 is: 128,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462 : 85,847 = 85,847 : x
  2. Step 2: Convert to fraction form
    57,462/85,847 = 85,847/x
  3. Step 3: Cross multiply
    57,462x = 85,847 × 85,847
  4. Step 4: Simplify right side
    57,462x = 7,369,707,409
  5. Step 5: Solve for x
    x = 7,369,707,409/57,462
  6. Step 6: Final answer
    x = 128,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.