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Finding the Third Proportional to 108,740 and 158,914

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Solution

The third proportional to 108,740 and 158,914 is: 232,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,740 : 158,914 = 158,914 : x
  2. Step 2: Convert to fraction form
    108,740/158,914 = 158,914/x
  3. Step 3: Cross multiply
    108,740x = 158,914 × 158,914
  4. Step 4: Simplify right side
    108,740x = 25,253,659,396
  5. Step 5: Solve for x
    x = 25,253,659,396/108,740
  6. Step 6: Final answer
    x = 232,238.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.