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Finding the Third Proportional to 93,982 and 143,949

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Solution

The third proportional to 93,982 and 143,949 is: 220,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 143,949 = 143,949 : x
  2. Step 2: Convert to fraction form
    93,982/143,949 = 143,949/x
  3. Step 3: Cross multiply
    93,982x = 143,949 × 143,949
  4. Step 4: Simplify right side
    93,982x = 20,721,314,601
  5. Step 5: Solve for x
    x = 20,721,314,601/93,982
  6. Step 6: Final answer
    x = 220,481.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.