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Finding the Third Proportional to 52,214 and 84,073

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Solution

The third proportional to 52,214 and 84,073 is: 135,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214 : 84,073 = 84,073 : x
  2. Step 2: Convert to fraction form
    52,214/84,073 = 84,073/x
  3. Step 3: Cross multiply
    52,214x = 84,073 × 84,073
  4. Step 4: Simplify right side
    52,214x = 7,068,269,329
  5. Step 5: Solve for x
    x = 7,068,269,329/52,214
  6. Step 6: Final answer
    x = 135,371.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.