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Finding the Third Proportional to 52,186 and 113,683

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Solution

The third proportional to 52,186 and 113,683 is: 247,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186 : 113,683 = 113,683 : x
  2. Step 2: Convert to fraction form
    52,186/113,683 = 113,683/x
  3. Step 3: Cross multiply
    52,186x = 113,683 × 113,683
  4. Step 4: Simplify right side
    52,186x = 12,923,824,489
  5. Step 5: Solve for x
    x = 12,923,824,489/52,186
  6. Step 6: Final answer
    x = 247,649.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.