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Finding the Third Proportional to 60,204 and 93,177

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Solution

The third proportional to 60,204 and 93,177 is: 144,208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,204 : 93,177 = 93,177 : x
  2. Step 2: Convert to fraction form
    60,204/93,177 = 93,177/x
  3. Step 3: Cross multiply
    60,204x = 93,177 × 93,177
  4. Step 4: Simplify right side
    60,204x = 8,681,953,329
  5. Step 5: Solve for x
    x = 8,681,953,329/60,204
  6. Step 6: Final answer
    x = 144,208.91

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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.