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Finding the Third Proportional to 92,942 and 139,623

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Solution

The third proportional to 92,942 and 139,623 is: 209,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,942 : 139,623 = 139,623 : x
  2. Step 2: Convert to fraction form
    92,942/139,623 = 139,623/x
  3. Step 3: Cross multiply
    92,942x = 139,623 × 139,623
  4. Step 4: Simplify right side
    92,942x = 19,494,582,129
  5. Step 5: Solve for x
    x = 19,494,582,129/92,942
  6. Step 6: Final answer
    x = 209,749.97

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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.