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Finding the Third Proportional to 57,177 and 76,385

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Solution

The third proportional to 57,177 and 76,385 is: 102,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,177 : 76,385 = 76,385 : x
  2. Step 2: Convert to fraction form
    57,177/76,385 = 76,385/x
  3. Step 3: Cross multiply
    57,177x = 76,385 × 76,385
  4. Step 4: Simplify right side
    57,177x = 5,834,668,225
  5. Step 5: Solve for x
    x = 5,834,668,225/57,177
  6. Step 6: Final answer
    x = 102,045.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.