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Finding the Third Proportional to 68,982 and 100,476

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Solution

The third proportional to 68,982 and 100,476 is: 146,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,982 : 100,476 = 100,476 : x
  2. Step 2: Convert to fraction form
    68,982/100,476 = 100,476/x
  3. Step 3: Cross multiply
    68,982x = 100,476 × 100,476
  4. Step 4: Simplify right side
    68,982x = 10,095,426,576
  5. Step 5: Solve for x
    x = 10,095,426,576/68,982
  6. Step 6: Final answer
    x = 146,348.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.