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Finding the Third Proportional to 68,194 and 147,476

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Solution

The third proportional to 68,194 and 147,476 is: 318,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194 : 147,476 = 147,476 : x
  2. Step 2: Convert to fraction form
    68,194/147,476 = 147,476/x
  3. Step 3: Cross multiply
    68,194x = 147,476 × 147,476
  4. Step 4: Simplify right side
    68,194x = 21,749,170,576
  5. Step 5: Solve for x
    x = 21,749,170,576/68,194
  6. Step 6: Final answer
    x = 318,930.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.