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Finding the Third Proportional to 92,882 and 139,533

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Solution

The third proportional to 92,882 and 139,533 is: 209,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,882 : 139,533 = 139,533 : x
  2. Step 2: Convert to fraction form
    92,882/139,533 = 139,533/x
  3. Step 3: Cross multiply
    92,882x = 139,533 × 139,533
  4. Step 4: Simplify right side
    92,882x = 19,469,458,089
  5. Step 5: Solve for x
    x = 19,469,458,089/92,882
  6. Step 6: Final answer
    x = 209,614.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.