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Finding the Third Proportional to 108,996 and 147,941

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Solution

The third proportional to 108,996 and 147,941 is: 200,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,996 : 147,941 = 147,941 : x
  2. Step 2: Convert to fraction form
    108,996/147,941 = 147,941/x
  3. Step 3: Cross multiply
    108,996x = 147,941 × 147,941
  4. Step 4: Simplify right side
    108,996x = 21,886,539,481
  5. Step 5: Solve for x
    x = 21,886,539,481/108,996
  6. Step 6: Final answer
    x = 200,801.31

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.