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Finding the Third Proportional to 41,058 and 88,526

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Solution

The third proportional to 41,058 and 88,526 is: 190,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 88,526 = 88,526 : x
  2. Step 2: Convert to fraction form
    41,058/88,526 = 88,526/x
  3. Step 3: Cross multiply
    41,058x = 88,526 × 88,526
  4. Step 4: Simplify right side
    41,058x = 7,836,852,676
  5. Step 5: Solve for x
    x = 7,836,852,676/41,058
  6. Step 6: Final answer
    x = 190,872.73

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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.