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Finding the Third Proportional to 37,242 and 85,085

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Solution

The third proportional to 37,242 and 85,085 is: 194,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,242 : 85,085 = 85,085 : x
  2. Step 2: Convert to fraction form
    37,242/85,085 = 85,085/x
  3. Step 3: Cross multiply
    37,242x = 85,085 × 85,085
  4. Step 4: Simplify right side
    37,242x = 7,239,457,225
  5. Step 5: Solve for x
    x = 7,239,457,225/37,242
  6. Step 6: Final answer
    x = 194,389.59

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.