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Finding the Third Proportional to 68,452 and 100,306

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Solution

The third proportional to 68,452 and 100,306 is: 146,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452 : 100,306 = 100,306 : x
  2. Step 2: Convert to fraction form
    68,452/100,306 = 100,306/x
  3. Step 3: Cross multiply
    68,452x = 100,306 × 100,306
  4. Step 4: Simplify right side
    68,452x = 10,061,293,636
  5. Step 5: Solve for x
    x = 10,061,293,636/68,452
  6. Step 6: Final answer
    x = 146,983.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.