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Finding the Third Proportional to 82,914 and 129,249

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Solution

The third proportional to 82,914 and 129,249 is: 201,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914 : 129,249 = 129,249 : x
  2. Step 2: Convert to fraction form
    82,914/129,249 = 129,249/x
  3. Step 3: Cross multiply
    82,914x = 129,249 × 129,249
  4. Step 4: Simplify right side
    82,914x = 16,705,304,001
  5. Step 5: Solve for x
    x = 16,705,304,001/82,914
  6. Step 6: Final answer
    x = 201,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.