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Finding the Third Proportional to 103,665 and 160,079

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Solution

The third proportional to 103,665 and 160,079 is: 247,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,665 : 160,079 = 160,079 : x
  2. Step 2: Convert to fraction form
    103,665/160,079 = 160,079/x
  3. Step 3: Cross multiply
    103,665x = 160,079 × 160,079
  4. Step 4: Simplify right side
    103,665x = 25,625,286,241
  5. Step 5: Solve for x
    x = 25,625,286,241/103,665
  6. Step 6: Final answer
    x = 247,193.23

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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.