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Finding the Third Proportional to 74,673 and 158,107

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Solution

The third proportional to 74,673 and 158,107 is: 334,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,673 : 158,107 = 158,107 : x
  2. Step 2: Convert to fraction form
    74,673/158,107 = 158,107/x
  3. Step 3: Cross multiply
    74,673x = 158,107 × 158,107
  4. Step 4: Simplify right side
    74,673x = 24,997,823,449
  5. Step 5: Solve for x
    x = 24,997,823,449/74,673
  6. Step 6: Final answer
    x = 334,763.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.