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Finding the Third Proportional to 92,244 and 139,214

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Solution

The third proportional to 92,244 and 139,214 is: 210,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,244 : 139,214 = 139,214 : x
  2. Step 2: Convert to fraction form
    92,244/139,214 = 139,214/x
  3. Step 3: Cross multiply
    92,244x = 139,214 × 139,214
  4. Step 4: Simplify right side
    92,244x = 19,380,537,796
  5. Step 5: Solve for x
    x = 19,380,537,796/92,244
  6. Step 6: Final answer
    x = 210,100.80

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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.