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Finding the Third Proportional to 40,154 and 85,126

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Solution

The third proportional to 40,154 and 85,126 is: 180,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,154 : 85,126 = 85,126 : x
  2. Step 2: Convert to fraction form
    40,154/85,126 = 85,126/x
  3. Step 3: Cross multiply
    40,154x = 85,126 × 85,126
  4. Step 4: Simplify right side
    40,154x = 7,246,435,876
  5. Step 5: Solve for x
    x = 7,246,435,876/40,154
  6. Step 6: Final answer
    x = 180,466.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.