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Finding the Third Proportional to 92,471 and 139,238

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Solution

The third proportional to 92,471 and 139,238 is: 209,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471 : 139,238 = 139,238 : x
  2. Step 2: Convert to fraction form
    92,471/139,238 = 139,238/x
  3. Step 3: Cross multiply
    92,471x = 139,238 × 139,238
  4. Step 4: Simplify right side
    92,471x = 19,387,220,644
  5. Step 5: Solve for x
    x = 19,387,220,644/92,471
  6. Step 6: Final answer
    x = 209,657.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.