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Finding the Third Proportional to 41,791 and 87,038

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Solution

The third proportional to 41,791 and 87,038 is: 181,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,791 : 87,038 = 87,038 : x
  2. Step 2: Convert to fraction form
    41,791/87,038 = 87,038/x
  3. Step 3: Cross multiply
    41,791x = 87,038 × 87,038
  4. Step 4: Simplify right side
    41,791x = 7,575,613,444
  5. Step 5: Solve for x
    x = 7,575,613,444/41,791
  6. Step 6: Final answer
    x = 181,273.80

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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.