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Finding the Third Proportional to 74,752 and 159,192

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Solution

The third proportional to 74,752 and 159,192 is: 339,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,752 : 159,192 = 159,192 : x
  2. Step 2: Convert to fraction form
    74,752/159,192 = 159,192/x
  3. Step 3: Cross multiply
    74,752x = 159,192 × 159,192
  4. Step 4: Simplify right side
    74,752x = 25,342,092,864
  5. Step 5: Solve for x
    x = 25,342,092,864/74,752
  6. Step 6: Final answer
    x = 339,015.58

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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.