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Finding the Third Proportional to 67,936 and 148,216

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Solution

The third proportional to 67,936 and 148,216 is: 323,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,936 : 148,216 = 148,216 : x
  2. Step 2: Convert to fraction form
    67,936/148,216 = 148,216/x
  3. Step 3: Cross multiply
    67,936x = 148,216 × 148,216
  4. Step 4: Simplify right side
    67,936x = 21,967,982,656
  5. Step 5: Solve for x
    x = 21,967,982,656/67,936
  6. Step 6: Final answer
    x = 323,362.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.