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Finding the Third Proportional to 111,552 and 159,016

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Solution

The third proportional to 111,552 and 159,016 is: 226,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,552 : 159,016 = 159,016 : x
  2. Step 2: Convert to fraction form
    111,552/159,016 = 159,016/x
  3. Step 3: Cross multiply
    111,552x = 159,016 × 159,016
  4. Step 4: Simplify right side
    111,552x = 25,286,088,256
  5. Step 5: Solve for x
    x = 25,286,088,256/111,552
  6. Step 6: Final answer
    x = 226,675.35

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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.