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Finding the Third Proportional to 108,536.63 and 167,727.38

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Solution

The third proportional to 108,536.63 and 167,727.38 is: 259,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,536.63 : 167,727.38 = 167,727.38 : x
  2. Step 2: Convert to fraction form
    108,536.63/167,727.38 = 167,727.38/x
  3. Step 3: Cross multiply
    108,536.63x = 167,727.38 × 167,727.38
  4. Step 4: Simplify right side
    108,536.63x = 28,132,472,324.39
  5. Step 5: Solve for x
    x = 28,132,472,324.39/108,536.63
  6. Step 6: Final answer
    x = 259,197.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.