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Finding the Third Proportional to 41,710 and 86,876

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Solution

The third proportional to 41,710 and 86,876 is: 180,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710 : 86,876 = 86,876 : x
  2. Step 2: Convert to fraction form
    41,710/86,876 = 86,876/x
  3. Step 3: Cross multiply
    41,710x = 86,876 × 86,876
  4. Step 4: Simplify right side
    41,710x = 7,547,439,376
  5. Step 5: Solve for x
    x = 7,547,439,376/41,710
  6. Step 6: Final answer
    x = 180,950.36

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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.