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Finding the Third Proportional to 92,156 and 138,586

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Solution

The third proportional to 92,156 and 138,586 is: 208,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,156 : 138,586 = 138,586 : x
  2. Step 2: Convert to fraction form
    92,156/138,586 = 138,586/x
  3. Step 3: Cross multiply
    92,156x = 138,586 × 138,586
  4. Step 4: Simplify right side
    92,156x = 19,206,079,396
  5. Step 5: Solve for x
    x = 19,206,079,396/92,156
  6. Step 6: Final answer
    x = 208,408.34

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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.