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Finding the Third Proportional to 73,912 and 162,592

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Solution

The third proportional to 73,912 and 162,592 is: 357,670.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912 : 162,592 = 162,592 : x
  2. Step 2: Convert to fraction form
    73,912/162,592 = 162,592/x
  3. Step 3: Cross multiply
    73,912x = 162,592 × 162,592
  4. Step 4: Simplify right side
    73,912x = 26,436,158,464
  5. Step 5: Solve for x
    x = 26,436,158,464/73,912
  6. Step 6: Final answer
    x = 357,670.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.