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Finding the Third Proportional to 92,245 and 139,013

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Solution

The third proportional to 92,245 and 139,013 is: 209,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245 : 139,013 = 139,013 : x
  2. Step 2: Convert to fraction form
    92,245/139,013 = 139,013/x
  3. Step 3: Cross multiply
    92,245x = 139,013 × 139,013
  4. Step 4: Simplify right side
    92,245x = 19,324,614,169
  5. Step 5: Solve for x
    x = 19,324,614,169/92,245
  6. Step 6: Final answer
    x = 209,492.27

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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.