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Finding the Third Proportional to 34,166 and 73,437

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Solution

The third proportional to 34,166 and 73,437 is: 157,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,166 : 73,437 = 73,437 : x
  2. Step 2: Convert to fraction form
    34,166/73,437 = 73,437/x
  3. Step 3: Cross multiply
    34,166x = 73,437 × 73,437
  4. Step 4: Simplify right side
    34,166x = 5,392,992,969
  5. Step 5: Solve for x
    x = 5,392,992,969/34,166
  6. Step 6: Final answer
    x = 157,846.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.