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Finding the Third Proportional to 124,155 and 192,205.13

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Solution

The third proportional to 124,155 and 192,205.13 is: 297,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,155 : 192,205.13 = 192,205.13 : x
  2. Step 2: Convert to fraction form
    124,155/192,205.13 = 192,205.13/x
  3. Step 3: Cross multiply
    124,155x = 192,205.13 × 192,205.13
  4. Step 4: Simplify right side
    124,155x = 36,942,810,076.27
  5. Step 5: Solve for x
    x = 36,942,810,076.27/124,155
  6. Step 6: Final answer
    x = 297,553.95

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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.