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Finding the Third Proportional to 36,156 and 84,470

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Solution

The third proportional to 36,156 and 84,470 is: 197,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,156 : 84,470 = 84,470 : x
  2. Step 2: Convert to fraction form
    36,156/84,470 = 84,470/x
  3. Step 3: Cross multiply
    36,156x = 84,470 × 84,470
  4. Step 4: Simplify right side
    36,156x = 7,135,180,900
  5. Step 5: Solve for x
    x = 7,135,180,900/36,156
  6. Step 6: Final answer
    x = 197,344.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.