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Finding the Third Proportional to 39,164 and 87,292

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Solution

The third proportional to 39,164 and 87,292 is: 194,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,164 : 87,292 = 87,292 : x
  2. Step 2: Convert to fraction form
    39,164/87,292 = 87,292/x
  3. Step 3: Cross multiply
    39,164x = 87,292 × 87,292
  4. Step 4: Simplify right side
    39,164x = 7,619,893,264
  5. Step 5: Solve for x
    x = 7,619,893,264/39,164
  6. Step 6: Final answer
    x = 194,563.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.