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Finding the Third Proportional to 93,539 and 141,812

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Solution

The third proportional to 93,539 and 141,812 is: 214,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,539 : 141,812 = 141,812 : x
  2. Step 2: Convert to fraction form
    93,539/141,812 = 141,812/x
  3. Step 3: Cross multiply
    93,539x = 141,812 × 141,812
  4. Step 4: Simplify right side
    93,539x = 20,110,643,344
  5. Step 5: Solve for x
    x = 20,110,643,344/93,539
  6. Step 6: Final answer
    x = 214,997.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.