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Finding the Third Proportional to 111,133 and 167,658

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Solution

The third proportional to 111,133 and 167,658 is: 252,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,133 : 167,658 = 167,658 : x
  2. Step 2: Convert to fraction form
    111,133/167,658 = 167,658/x
  3. Step 3: Cross multiply
    111,133x = 167,658 × 167,658
  4. Step 4: Simplify right side
    111,133x = 28,109,204,964
  5. Step 5: Solve for x
    x = 28,109,204,964/111,133
  6. Step 6: Final answer
    x = 252,933.02

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