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Finding the Third Proportional to 60,204 and 93,171

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Solution

The third proportional to 60,204 and 93,171 is: 144,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,204 : 93,171 = 93,171 : x
  2. Step 2: Convert to fraction form
    60,204/93,171 = 93,171/x
  3. Step 3: Cross multiply
    60,204x = 93,171 × 93,171
  4. Step 4: Simplify right side
    60,204x = 8,680,835,241
  5. Step 5: Solve for x
    x = 8,680,835,241/60,204
  6. Step 6: Final answer
    x = 144,190.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.