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Finding the Third Proportional to 67,288 and 104,036

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Solution

The third proportional to 67,288 and 104,036 is: 160,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,288 : 104,036 = 104,036 : x
  2. Step 2: Convert to fraction form
    67,288/104,036 = 104,036/x
  3. Step 3: Cross multiply
    67,288x = 104,036 × 104,036
  4. Step 4: Simplify right side
    67,288x = 10,823,489,296
  5. Step 5: Solve for x
    x = 10,823,489,296/67,288
  6. Step 6: Final answer
    x = 160,853.19

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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.