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Finding the Third Proportional to 108,859.50 and 160,086.38

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Solution

The third proportional to 108,859.50 and 160,086.38 is: 235,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,859.50 : 160,086.38 = 160,086.38 : x
  2. Step 2: Convert to fraction form
    108,859.50/160,086.38 = 160,086.38/x
  3. Step 3: Cross multiply
    108,859.50x = 160,086.38 × 160,086.38
  4. Step 4: Simplify right side
    108,859.50x = 25,627,647,460.64
  5. Step 5: Solve for x
    x = 25,627,647,460.64/108,859.50
  6. Step 6: Final answer
    x = 235,419.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.