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Finding the Third Proportional to 103,717 and 160,186

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Solution

The third proportional to 103,717 and 160,186 is: 247,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,717 : 160,186 = 160,186 : x
  2. Step 2: Convert to fraction form
    103,717/160,186 = 160,186/x
  3. Step 3: Cross multiply
    103,717x = 160,186 × 160,186
  4. Step 4: Simplify right side
    103,717x = 25,659,554,596
  5. Step 5: Solve for x
    x = 25,659,554,596/103,717
  6. Step 6: Final answer
    x = 247,399.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.