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Finding the Third Proportional to 34,166 and 72,652

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Solution

The third proportional to 34,166 and 72,652 is: 154,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166 : 72,652 = 72,652 : x
  2. Step 2: Convert to fraction form
    34,166/72,652 = 72,652/x
  3. Step 3: Cross multiply
    34,166x = 72,652 × 72,652
  4. Step 4: Simplify right side
    34,166x = 5,278,313,104
  5. Step 5: Solve for x
    x = 5,278,313,104/34,166
  6. Step 6: Final answer
    x = 154,490.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.