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Finding the Third Proportional to 111,063 and 158,288

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Solution

The third proportional to 111,063 and 158,288 is: 225,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,063 : 158,288 = 158,288 : x
  2. Step 2: Convert to fraction form
    111,063/158,288 = 158,288/x
  3. Step 3: Cross multiply
    111,063x = 158,288 × 158,288
  4. Step 4: Simplify right side
    111,063x = 25,055,090,944
  5. Step 5: Solve for x
    x = 25,055,090,944/111,063
  6. Step 6: Final answer
    x = 225,593.50

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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.