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Finding the Third Proportional to 41,108.50 and 85,457

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Solution

The third proportional to 41,108.50 and 85,457 is: 177,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,108.50 : 85,457 = 85,457 : x
  2. Step 2: Convert to fraction form
    41,108.50/85,457 = 85,457/x
  3. Step 3: Cross multiply
    41,108.50x = 85,457 × 85,457
  4. Step 4: Simplify right side
    41,108.50x = 7,302,898,849
  5. Step 5: Solve for x
    x = 7,302,898,849/41,108.50
  6. Step 6: Final answer
    x = 177,649.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.