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Finding the Third Proportional to 68,435 and 147,094

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Solution

The third proportional to 68,435 and 147,094 is: 316,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,435 : 147,094 = 147,094 : x
  2. Step 2: Convert to fraction form
    68,435/147,094 = 147,094/x
  3. Step 3: Cross multiply
    68,435x = 147,094 × 147,094
  4. Step 4: Simplify right side
    68,435x = 21,636,644,836
  5. Step 5: Solve for x
    x = 21,636,644,836/68,435
  6. Step 6: Final answer
    x = 316,163.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.