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Finding the Third Proportional to 92,743 and 139,134

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Solution

The third proportional to 92,743 and 139,134 is: 208,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,743 : 139,134 = 139,134 : x
  2. Step 2: Convert to fraction form
    92,743/139,134 = 139,134/x
  3. Step 3: Cross multiply
    92,743x = 139,134 × 139,134
  4. Step 4: Simplify right side
    92,743x = 19,358,269,956
  5. Step 5: Solve for x
    x = 19,358,269,956/92,743
  6. Step 6: Final answer
    x = 208,730.25

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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.