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Finding the Third Proportional to 68,282 and 142,996

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Solution

The third proportional to 68,282 and 142,996 is: 299,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282 : 142,996 = 142,996 : x
  2. Step 2: Convert to fraction form
    68,282/142,996 = 142,996/x
  3. Step 3: Cross multiply
    68,282x = 142,996 × 142,996
  4. Step 4: Simplify right side
    68,282x = 20,447,856,016
  5. Step 5: Solve for x
    x = 20,447,856,016/68,282
  6. Step 6: Final answer
    x = 299,461.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.