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Finding the Third Proportional to 73,852 and 111,658

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Solution

The third proportional to 73,852 and 111,658 is: 168,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,852 : 111,658 = 111,658 : x
  2. Step 2: Convert to fraction form
    73,852/111,658 = 111,658/x
  3. Step 3: Cross multiply
    73,852x = 111,658 × 111,658
  4. Step 4: Simplify right side
    73,852x = 12,467,508,964
  5. Step 5: Solve for x
    x = 12,467,508,964/73,852
  6. Step 6: Final answer
    x = 168,817.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.