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Finding the Third Proportional to 108,835.25 and 168,178.25

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Solution

The third proportional to 108,835.25 and 168,178.25 is: 259,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,835.25 : 168,178.25 = 168,178.25 : x
  2. Step 2: Convert to fraction form
    108,835.25/168,178.25 = 168,178.25/x
  3. Step 3: Cross multiply
    108,835.25x = 168,178.25 × 168,178.25
  4. Step 4: Simplify right side
    108,835.25x = 28,283,923,773.06
  5. Step 5: Solve for x
    x = 28,283,923,773.06/108,835.25
  6. Step 6: Final answer
    x = 259,878.34

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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.