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Finding the Third Proportional to 92,867 and 139,302

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Solution

The third proportional to 92,867 and 139,302 is: 208,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,867 : 139,302 = 139,302 : x
  2. Step 2: Convert to fraction form
    92,867/139,302 = 139,302/x
  3. Step 3: Cross multiply
    92,867x = 139,302 × 139,302
  4. Step 4: Simplify right side
    92,867x = 19,405,047,204
  5. Step 5: Solve for x
    x = 19,405,047,204/92,867
  6. Step 6: Final answer
    x = 208,955.25

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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.