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Finding the Third Proportional to 61,138.50 and 92,325

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Solution

The third proportional to 61,138.50 and 92,325 is: 139,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,138.50 : 92,325 = 92,325 : x
  2. Step 2: Convert to fraction form
    61,138.50/92,325 = 92,325/x
  3. Step 3: Cross multiply
    61,138.50x = 92,325 × 92,325
  4. Step 4: Simplify right side
    61,138.50x = 8,523,905,625
  5. Step 5: Solve for x
    x = 8,523,905,625/61,138.50
  6. Step 6: Final answer
    x = 139,419.61

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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.