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Finding the Third Proportional to 65,914 and 102,147

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Solution

The third proportional to 65,914 and 102,147 is: 158,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,914 : 102,147 = 102,147 : x
  2. Step 2: Convert to fraction form
    65,914/102,147 = 102,147/x
  3. Step 3: Cross multiply
    65,914x = 102,147 × 102,147
  4. Step 4: Simplify right side
    65,914x = 10,434,009,609
  5. Step 5: Solve for x
    x = 10,434,009,609/65,914
  6. Step 6: Final answer
    x = 158,297.32

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