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Finding the Third Proportional to 73,911 and 162,584

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Solution

The third proportional to 73,911 and 162,584 is: 357,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,911 : 162,584 = 162,584 : x
  2. Step 2: Convert to fraction form
    73,911/162,584 = 162,584/x
  3. Step 3: Cross multiply
    73,911x = 162,584 × 162,584
  4. Step 4: Simplify right side
    73,911x = 26,433,557,056
  5. Step 5: Solve for x
    x = 26,433,557,056/73,911
  6. Step 6: Final answer
    x = 357,640.37

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