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Finding the Third Proportional to 74,596 and 157,832

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Solution

The third proportional to 74,596 and 157,832 is: 333,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,596 : 157,832 = 157,832 : x
  2. Step 2: Convert to fraction form
    74,596/157,832 = 157,832/x
  3. Step 3: Cross multiply
    74,596x = 157,832 × 157,832
  4. Step 4: Simplify right side
    74,596x = 24,910,940,224
  5. Step 5: Solve for x
    x = 24,910,940,224/74,596
  6. Step 6: Final answer
    x = 333,944.72

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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.