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Finding the Third Proportional to 102,540 and 155,177

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Solution

The third proportional to 102,540 and 155,177 is: 234,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 155,177 = 155,177 : x
  2. Step 2: Convert to fraction form
    102,540/155,177 = 155,177/x
  3. Step 3: Cross multiply
    102,540x = 155,177 × 155,177
  4. Step 4: Simplify right side
    102,540x = 24,079,901,329
  5. Step 5: Solve for x
    x = 24,079,901,329/102,540
  6. Step 6: Final answer
    x = 234,834.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.