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Finding the Third Proportional to 111,083 and 158,738

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Solution

The third proportional to 111,083 and 158,738 is: 226,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,083 : 158,738 = 158,738 : x
  2. Step 2: Convert to fraction form
    111,083/158,738 = 158,738/x
  3. Step 3: Cross multiply
    111,083x = 158,738 × 158,738
  4. Step 4: Simplify right side
    111,083x = 25,197,752,644
  5. Step 5: Solve for x
    x = 25,197,752,644/111,083
  6. Step 6: Final answer
    x = 226,837.16

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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.