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Finding the Third Proportional to 68,852 and 145,905

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Solution

The third proportional to 68,852 and 145,905 is: 309,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,852 : 145,905 = 145,905 : x
  2. Step 2: Convert to fraction form
    68,852/145,905 = 145,905/x
  3. Step 3: Cross multiply
    68,852x = 145,905 × 145,905
  4. Step 4: Simplify right side
    68,852x = 21,288,269,025
  5. Step 5: Solve for x
    x = 21,288,269,025/68,852
  6. Step 6: Final answer
    x = 309,188.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.