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Finding the Third Proportional to 108,018 and 160,899

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Solution

The third proportional to 108,018 and 160,899 is: 239,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,018 : 160,899 = 160,899 : x
  2. Step 2: Convert to fraction form
    108,018/160,899 = 160,899/x
  3. Step 3: Cross multiply
    108,018x = 160,899 × 160,899
  4. Step 4: Simplify right side
    108,018x = 25,888,488,201
  5. Step 5: Solve for x
    x = 25,888,488,201/108,018
  6. Step 6: Final answer
    x = 239,668.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.