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Finding the Third Proportional to 108,853.50 and 168,134.25

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Solution

The third proportional to 108,853.50 and 168,134.25 is: 259,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,853.50 : 168,134.25 = 168,134.25 : x
  2. Step 2: Convert to fraction form
    108,853.50/168,134.25 = 168,134.25/x
  3. Step 3: Cross multiply
    108,853.50x = 168,134.25 × 168,134.25
  4. Step 4: Simplify right side
    108,853.50x = 28,269,126,023.06
  5. Step 5: Solve for x
    x = 28,269,126,023.06/108,853.50
  6. Step 6: Final answer
    x = 259,698.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.