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Finding the Third Proportional to 68,008 and 102,624

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Solution

The third proportional to 68,008 and 102,624 is: 154,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,008 : 102,624 = 102,624 : x
  2. Step 2: Convert to fraction form
    68,008/102,624 = 102,624/x
  3. Step 3: Cross multiply
    68,008x = 102,624 × 102,624
  4. Step 4: Simplify right side
    68,008x = 10,531,685,376
  5. Step 5: Solve for x
    x = 10,531,685,376/68,008
  6. Step 6: Final answer
    x = 154,859.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.