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Finding the Third Proportional to 74,983 and 156,848

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Solution

The third proportional to 74,983 and 156,848 is: 328,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,983 : 156,848 = 156,848 : x
  2. Step 2: Convert to fraction form
    74,983/156,848 = 156,848/x
  3. Step 3: Cross multiply
    74,983x = 156,848 × 156,848
  4. Step 4: Simplify right side
    74,983x = 24,601,295,104
  5. Step 5: Solve for x
    x = 24,601,295,104/74,983
  6. Step 6: Final answer
    x = 328,091.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.