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Finding the Third Proportional to 103,797 and 160,539

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Solution

The third proportional to 103,797 and 160,539 is: 248,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,797 : 160,539 = 160,539 : x
  2. Step 2: Convert to fraction form
    103,797/160,539 = 160,539/x
  3. Step 3: Cross multiply
    103,797x = 160,539 × 160,539
  4. Step 4: Simplify right side
    103,797x = 25,772,770,521
  5. Step 5: Solve for x
    x = 25,772,770,521/103,797
  6. Step 6: Final answer
    x = 248,299.76

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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.