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Finding the Third Proportional to 67,824 and 102,888

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Solution

The third proportional to 67,824 and 102,888 is: 156,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 102,888 = 102,888 : x
  2. Step 2: Convert to fraction form
    67,824/102,888 = 102,888/x
  3. Step 3: Cross multiply
    67,824x = 102,888 × 102,888
  4. Step 4: Simplify right side
    67,824x = 10,585,940,544
  5. Step 5: Solve for x
    x = 10,585,940,544/67,824
  6. Step 6: Final answer
    x = 156,079.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.