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Finding the Third Proportional to 111,356 and 167,026

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Solution

The third proportional to 111,356 and 167,026 is: 250,527.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,356 : 167,026 = 167,026 : x
  2. Step 2: Convert to fraction form
    111,356/167,026 = 167,026/x
  3. Step 3: Cross multiply
    111,356x = 167,026 × 167,026
  4. Step 4: Simplify right side
    111,356x = 27,897,684,676
  5. Step 5: Solve for x
    x = 27,897,684,676/111,356
  6. Step 6: Final answer
    x = 250,527.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.