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Finding the Third Proportional to 96,881 and 147,832

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Solution

The third proportional to 96,881 and 147,832 is: 225,578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,881 : 147,832 = 147,832 : x
  2. Step 2: Convert to fraction form
    96,881/147,832 = 147,832/x
  3. Step 3: Cross multiply
    96,881x = 147,832 × 147,832
  4. Step 4: Simplify right side
    96,881x = 21,854,300,224
  5. Step 5: Solve for x
    x = 21,854,300,224/96,881
  6. Step 6: Final answer
    x = 225,578.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.