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Finding the Third Proportional to 31,214 and 68,476

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Solution

The third proportional to 31,214 and 68,476 is: 150,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 68,476 = 68,476 : x
  2. Step 2: Convert to fraction form
    31,214/68,476 = 68,476/x
  3. Step 3: Cross multiply
    31,214x = 68,476 × 68,476
  4. Step 4: Simplify right side
    31,214x = 4,688,962,576
  5. Step 5: Solve for x
    x = 4,688,962,576/31,214
  6. Step 6: Final answer
    x = 150,219.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.