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Finding the Third Proportional to 108,032 and 155,613

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Solution

The third proportional to 108,032 and 155,613 is: 224,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,032 : 155,613 = 155,613 : x
  2. Step 2: Convert to fraction form
    108,032/155,613 = 155,613/x
  3. Step 3: Cross multiply
    108,032x = 155,613 × 155,613
  4. Step 4: Simplify right side
    108,032x = 24,215,405,769
  5. Step 5: Solve for x
    x = 24,215,405,769/108,032
  6. Step 6: Final answer
    x = 224,150.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.