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Finding the Third Proportional to 108,087 and 161,698

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Solution

The third proportional to 108,087 and 161,698 is: 241,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,087 : 161,698 = 161,698 : x
  2. Step 2: Convert to fraction form
    108,087/161,698 = 161,698/x
  3. Step 3: Cross multiply
    108,087x = 161,698 × 161,698
  4. Step 4: Simplify right side
    108,087x = 26,146,243,204
  5. Step 5: Solve for x
    x = 26,146,243,204/108,087
  6. Step 6: Final answer
    x = 241,899.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.