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Finding the Third Proportional to 92,271.94 and 138,408.19

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Solution

The third proportional to 92,271.94 and 138,408.19 is: 207,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,271.94 : 138,408.19 = 138,408.19 : x
  2. Step 2: Convert to fraction form
    92,271.94/138,408.19 = 138,408.19/x
  3. Step 3: Cross multiply
    92,271.94x = 138,408.19 × 138,408.19
  4. Step 4: Simplify right side
    92,271.94x = 19,156,826,367.04
  5. Step 5: Solve for x
    x = 19,156,826,367.04/92,271.94
  6. Step 6: Final answer
    x = 207,612.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.