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Finding the Third Proportional to 41,056 and 88,859

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Solution

The third proportional to 41,056 and 88,859 is: 192,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,056 : 88,859 = 88,859 : x
  2. Step 2: Convert to fraction form
    41,056/88,859 = 88,859/x
  3. Step 3: Cross multiply
    41,056x = 88,859 × 88,859
  4. Step 4: Simplify right side
    41,056x = 7,895,921,881
  5. Step 5: Solve for x
    x = 7,895,921,881/41,056
  6. Step 6: Final answer
    x = 192,320.78

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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.