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Finding the Third Proportional to 68,544 and 145,818

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Solution

The third proportional to 68,544 and 145,818 is: 310,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,544 : 145,818 = 145,818 : x
  2. Step 2: Convert to fraction form
    68,544/145,818 = 145,818/x
  3. Step 3: Cross multiply
    68,544x = 145,818 × 145,818
  4. Step 4: Simplify right side
    68,544x = 21,262,889,124
  5. Step 5: Solve for x
    x = 21,262,889,124/68,544
  6. Step 6: Final answer
    x = 310,207.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.