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Finding the Third Proportional to 31,216 and 67,616

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Solution

The third proportional to 31,216 and 67,616 is: 146,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216 : 67,616 = 67,616 : x
  2. Step 2: Convert to fraction form
    31,216/67,616 = 67,616/x
  3. Step 3: Cross multiply
    31,216x = 67,616 × 67,616
  4. Step 4: Simplify right side
    31,216x = 4,571,923,456
  5. Step 5: Solve for x
    x = 4,571,923,456/31,216
  6. Step 6: Final answer
    x = 146,460.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.