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Finding the Third Proportional to 57,628 and 85,116

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Solution

The third proportional to 57,628 and 85,116 is: 125,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,628 : 85,116 = 85,116 : x
  2. Step 2: Convert to fraction form
    57,628/85,116 = 85,116/x
  3. Step 3: Cross multiply
    57,628x = 85,116 × 85,116
  4. Step 4: Simplify right side
    57,628x = 7,244,733,456
  5. Step 5: Solve for x
    x = 7,244,733,456/57,628
  6. Step 6: Final answer
    x = 125,715.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.