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Finding the Third Proportional to 41,729 and 90,015

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Solution

The third proportional to 41,729 and 90,015 is: 194,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,729 : 90,015 = 90,015 : x
  2. Step 2: Convert to fraction form
    41,729/90,015 = 90,015/x
  3. Step 3: Cross multiply
    41,729x = 90,015 × 90,015
  4. Step 4: Simplify right side
    41,729x = 8,102,700,225
  5. Step 5: Solve for x
    x = 8,102,700,225/41,729
  6. Step 6: Final answer
    x = 194,174.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.