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Finding the Third Proportional to 52,371 and 113,856

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Solution

The third proportional to 52,371 and 113,856 is: 247,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,371 : 113,856 = 113,856 : x
  2. Step 2: Convert to fraction form
    52,371/113,856 = 113,856/x
  3. Step 3: Cross multiply
    52,371x = 113,856 × 113,856
  4. Step 4: Simplify right side
    52,371x = 12,963,188,736
  5. Step 5: Solve for x
    x = 12,963,188,736/52,371
  6. Step 6: Final answer
    x = 247,526.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.