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Finding the Third Proportional to 41,762 and 87,896

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Solution

The third proportional to 41,762 and 87,896 is: 184,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,762 : 87,896 = 87,896 : x
  2. Step 2: Convert to fraction form
    41,762/87,896 = 87,896/x
  3. Step 3: Cross multiply
    41,762x = 87,896 × 87,896
  4. Step 4: Simplify right side
    41,762x = 7,725,706,816
  5. Step 5: Solve for x
    x = 7,725,706,816/41,762
  6. Step 6: Final answer
    x = 184,993.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.