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Finding the Third Proportional to 74,722 and 156,368

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Solution

The third proportional to 74,722 and 156,368 is: 327,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,722 : 156,368 = 156,368 : x
  2. Step 2: Convert to fraction form
    74,722/156,368 = 156,368/x
  3. Step 3: Cross multiply
    74,722x = 156,368 × 156,368
  4. Step 4: Simplify right side
    74,722x = 24,450,951,424
  5. Step 5: Solve for x
    x = 24,450,951,424/74,722
  6. Step 6: Final answer
    x = 327,225.60

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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.