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Finding the Third Proportional to 111,088 and 158,745

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Solution

The third proportional to 111,088 and 158,745 is: 226,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,088 : 158,745 = 158,745 : x
  2. Step 2: Convert to fraction form
    111,088/158,745 = 158,745/x
  3. Step 3: Cross multiply
    111,088x = 158,745 × 158,745
  4. Step 4: Simplify right side
    111,088x = 25,199,975,025
  5. Step 5: Solve for x
    x = 25,199,975,025/111,088
  6. Step 6: Final answer
    x = 226,846.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.